A mathematical concept that can be used to express position, direction or velocity and which can simplify or outright trivialise spatial problems.

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976 views

Calculate vector in local space

I have a vector (8,5). It's origin is at (10,9) I can calculate a perpendicular like so: MyPerpendicularVector.x = -MyVector.y MyPerpendicularVector.y = MyVector.x Given that I now know these two ...
5
votes
1answer
4k views

How do I find rotation in 3D based on a vector/normal?

I've been playing with Blender and Python, doing basic things like accessing vertices/normals,etc. I can get the normal of each face of a mesh. I was wondering, how can I get the rotation of a face ...
5
votes
3answers
2k views

Why is this code producing jittery movement?

I have a new project, all settings default with a simple cube on a plane. Cube is not kinematic but is a rigid body under the effects of gravity. I'm trying to normalize the direction before I ...
5
votes
3answers
804 views

Should we go for our Vector2Int/Vector3Int implementation or just use built-in float based vectors?

So in one of our projects we're using Vector2/Vector3's a lot but we do only use integer/byte values mostly. So up to the point we've implemented our Vector2Int, Vector3Int, Vector2Byte and so ...
5
votes
2answers
372 views

Getting an angle in degrees from north

This may have been asked already, but I was unable to find it, because I don't really know what I'm looking for. I drew a picture: I need theta. I've seen various solutions using Vector.Dot, and ...
5
votes
1answer
255 views

Trouble with speed and vectors

I'm working on adding bullets to my game. Right now I can shoot bullets in the direction that I would like from a ship by getting the ship's angle: int speed = 5; int dx = ...
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votes
2answers
2k views

What is a good way to determine if a vector is between two other vectors in 2D?

I could operate with the angles, but I do not have the angles calculated yet (and would like to avoid having to do that). It would be possible to calculate and cache the local-coordinate-frame angles, ...
5
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2answers
116 views

How to apply friction vector to acceleration in top-down 2D game?

I'm making a top-down view 2D RPG game, meaning the player can move in any direction on a 2D plane, and I'm trying to implement a somewhat realistic non-orthogonal acceleration/friction physics model ...
5
votes
1answer
875 views

Rotating plane to be parallel to given normal via change of basis

I have two planes and their respective normals. I would like to rotate the second plane, planeB, so that it is parallel to the first, planeA. To do this, I am using a change of basis to rotate each ...
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votes
3answers
7k views

Get points on a line between two points

I'm making a simple space game in JavaScript, but now I've hit a wall regarding vectors. The game view is top-down on a 2d grid. When the user clicks on the grid, the space ship will fly to that ...
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2answers
1k views

Why isn't this physics code scaling velocities separately?

I'm working my way through this book and I'm trying to work this code out: var squaredVelocity = this.velocity.x*this.velocity.x + this.velocity.z*this.velocity.z; if ...
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2answers
484 views

What are the properties of “position, velocity, acceleration, rotation” collectively named?

They say naming things is one of the hardest problems in computer programming. They were right. Given the pseudocode below, what is a more appropriate name for this collection of properties? ...
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2answers
10k views

Rotate vector by matrix?

If I have a Vector, say (1,1), how can I rotate it around the origin (0,0)? I'm working in XNA if that helps.
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2answers
4k views

How do I use the dot product to get an angle between two vectors?

I am learning to use normalized vectors in my games. I've learned that in order to know the angle between two vectors, I can use the dot product. This gives me a value between -1 and 1, where 1 ...
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votes
3answers
1k views

What is a direction vector and why should it be normalized?

I've been trying to get the hang of vectors and I read Wolfire's blog about linear algebra and I seem to understand most stuff except when it comes to storing a direction as a vector and using it by ...
4
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3answers
2k views

Tetris - Rotations using Linear Algebra (Rotation Matrices)

I'm making Tetris in Java and am at the point of rotations... Originally I was hardcoding each rotation: if (direction.equals("right")) { if (shape.equals("Bar")) { if ...
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votes
3answers
2k views

Given an angle for an arrow, how do I find its X and Y velocities?

I want to fire an arrow toward the mouse location. X0 = the players X location X1 = the mouse X location Y0 = the players Y location Y1 = the mouse Y location I want to make a method which takes ...
4
votes
1answer
307 views

Does vector transformation order matter?

Theoretical question - imagine a car object. There are two (or more) 'forces' acting on this car, these forces will affect where the car will steer. But the forces are calculated using car's location ...
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votes
1answer
1k views

How to bounce a 2d point particle off of a circular edge

In a prototype I'm building, a particle can spawn anywhere within a larger, confining circle. Important to note is that the particle will not spawn in the origin of the larger circle, but anywhere ...
4
votes
1answer
633 views

Why game engines usually don't offer a vector3.rotate method? [closed]

Game engines like Three.js, Ogre3d and Unity3d often don't provide a default rotate method on their vector class. You usually have to do something like: rotated = vector.applyQuaternion( new ...
4
votes
3answers
8k views

How do I find a point given an angle and distance to it?

I'm working on a school project creating a tank team in the programming game Robocode. (It's a tank battle game with self-programmed bots, in Java). I'm programming a scout bot that scans, finds ...
4
votes
1answer
2k views

Raycasting tutorial / vector math question

I'm checking out this nice raycasting tutorial at http://lodev.org/cgtutor/raycasting.html and have a probably very simple math question. In the DDA algorithm I'm having trouble understanding the ...
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4answers
4k views

Most effective way to manage a gamestate system that is easy to use?

I just started working on my game, mostly the game management. I plan and using game-states to make the menu's and other stuff easier. My main idea for implementing the game-states is creating a game ...
4
votes
1answer
1k views

How do I determine the position of one vector relative to another?

I'm making a game for Kinect in Unity which tracks hand movements. I have the player's root position and the position of their fist stored as 3-dimensional vectors (Vector3 in Unity), but they're both ...
4
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1answer
3k views

How to Calculate the Contact Point between Ray and Plane

Is there any quick way to find the intersection point between Plane and Ray?
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2answers
158 views

Movement with Vector Math

After reading This SO post on Vectors, I'm still pretty confused on how to use vectors to move my entities at any angle. The SO post assumes only 90 degree angles: if up pressed: direction = ...
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4answers
4k views

How to find the entity I'm looking at?

I am currently making a mod for Minecraft but I have come to a stop because I am lacking in some knowledge. I need to get data for the entity I am looking at, which I believe requires the use vectors, ...
4
votes
1answer
1k views

Calculating normal vector on a 2d pixelated map

I want to know an efficient way to get the normal of the surface of a 2d map. suppose an object hit the map, i want the object to bounce accordingly. The problem is, the "bounding box" of said object ...
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votes
5answers
1k views

Implementing vector based movement in a 2d environment

Good evening. I apologize if the title is a bit vague, I really could not come up with anything better. I am currently reading a book called the nature of code and as a side project, I am working on ...
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votes
2answers
3k views

Drawing a texture line between two vectors in XNA WP7

I want to create a simple graph maker in WP7. The goal is to draw a texture line between two vectors what the user defines with touch. I already made the rotation, and it is working, but not ...
4
votes
1answer
2k views

Points on lines where the two lines are the closest together

I'm trying to find the points on two lines where the two lines are the closest. I've implemented the following method (Points and Vectors are as you'd expect, and a Line consists of a Point on the ...
4
votes
1answer
465 views

Limit rotation heading by cone/angle

What is a fast way of limiting the heading vector to a certain angle so that it turns in greater distance relative to the limit. A smaller cone/angle should make the object take a far bigger curve to ...
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votes
5answers
5k views

Normalization of Vectors: Return a copy of the result or alter the object itself?

When calculating the normal of a vector, which is considered canon: Returning a copy: Vector2D Vector2D::Normalize() const { double a1 = GetX(); double a2 = GetY(); double a3 = GetZ(); ...
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votes
4answers
895 views

Is it better to track rotation with a vector or a float?

In XNA, you can see that to draw a rotated sprite with SpriteBatch, you'll need a float describing the angle in radians. I'm used to making games in OpenGL. I just want a rapid prototyping ...
3
votes
2answers
846 views

How to find point on a circle that's opposite another point?

How do I find the coordinate of point and angle value on circle sprite which placed on opposite side of sprite from a touch point and the center point of the sprite? I know A position, B position and ...
3
votes
6answers
3k views

How to implement object velocity as a vector

I'm working on a Breakout game, and want to change the ball's movement code from how I currently do it, to something based on vectors (as I feel learning and implementing movement based on vectors ...
3
votes
3answers
176 views

2 component unit vector

Is it possible to store a 3d unit length vector with only 2 components, for example as coordinates on a unit sphere? It seems possible but I have never seen anyone do this. Would this be at all ...
3
votes
2answers
2k views

How to calculate left/right oriented angle between two 2D vectors? [duplicate]

I would like to calculate angle between two 2D vectors. Here's a picture of what I'm trying to achieve: I have an obstacle line segment AB and incoming moving PC. If I'm coming from one side C¹D¹ ...
3
votes
4answers
6k views

How can I implement a directional melee attack?

I am attempting to make a top down game similar to the SNES Zelda games, in Unity 4.3, in 2D. When my character swings their sword, every enemy within a radius takes damage. I want to make sure that ...
3
votes
2answers
184 views

What kind of projection is ScreenX=X/Z, ScreenY=Y/Z?

I have an existing class which transforms 3D vectors and projects them on a 2D plane (Camera). The code is all written in C without help from an external library. To project a single vector (X,Y,Z) ...
3
votes
2answers
308 views

How do you transform a vector to use another objects orientation?

I want to take a vector that is using world coordinates and position it using the orientation of an object. So, if the direction of the object is the z-axis, and the vector is (0,0,1), then the ...
3
votes
4answers
4k views

Line triangle intersection - last bits

I'm doing line-triangle intersection. I have found the intersection point (vector) on the plane. All I need to do now is work out whether the point is inside the triangle it collided with (not the ...
3
votes
4answers
98 views

Intersection of a Line and a Rectangle

I have to calculate the intersection of a line segment (represented by 2 points) with a rectangle. For example: Axis aligned rectangle corners: (0, 0) (100, 100) Point 1: (50, 50) Point 2: (50, ...
3
votes
2answers
542 views

How do I make a 2D race car turn smoothly? [duplicate]

I'm making a competitive 2-player 2D racing game for a school project. I'm struggling with the movements of my car: I made it a square for testing purposes and it can move left, right, up or down, but ...
3
votes
4answers
4k views

How to smoothly rotate a vector in a direction?

I'm looking for an easy way to achieve the following: Object A, B { Vector2D position; Vector2D orientation; } update(elapsed) { //rotate A's orientation in B's direction by x * elapsed ...
3
votes
3answers
195 views

Determining a point that reached another point

I have two points, one is moving and one is stationary. I would like to know if the moving point has reached that point or not. I tried to calculate the distance between two vectors and the distance ...
3
votes
1answer
433 views

Confused about order of operation when using a Matrix in XNA, C#

Here are two different pieces of code This is what I started with Vector2 hold = Vector2.Transform(pos1, mat1); Matrix inv = Matrix.Invert(mat2); Vector2 pos2 = Vector2.Transform(hold, inv); And ...
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votes
2answers
2k views

Bukkit shoot tnt & help with vectors

I want to shoot a piece of tnt from the players face and then let it explode when it hits the target block. if (cmd.getName().equalsIgnoreCase("cannon")) { ...
3
votes
4answers
666 views

How to draw a line of a given length towards a given object?

I wanna draw a line between two moving objects I can't use: cDrawLine(startPointCG, endPointCG); because the line must have a length. So I'm trying to measure the angle between those two points ...
3
votes
3answers
369 views

Adding 'swerve' to a direction

I'm not much of a maths expert, so this is probably quite straight forward. I was playing a soccer flash game where you take free kicks. You provide Power, Swerve and Direction. I'm reading up on ...