3
votes
2answers
779 views

Form a Parallelogram by 4 Points

This is a question from my school. The following is the whole question. The vertices of a triangle A, B and C are given by the points (-1, 0, 2), (0, 1, 0), (1, -1, 0) respectively. Find ...
1
vote
0answers
28 views

sweeping edges till they get a given elevation on an oblique plane

I am constructing wireframe model of 3d objects (prisms,..etc.). from a triangular mesh, I have obtained boundary points and fit striaght lines in order to get polygon edges refering to prism ...
0
votes
1answer
51 views

Generate a Normal in 3D Without Branching?

I have a vector $v$ in arbitrary 3D space ending at point B. In order to generate the next point -- C, I uniformly pick an ...
2
votes
2answers
200 views

Vector Picking on the Unit Sphere

Imagine a vector from the center of a unit sphere to its surface: Now imagine a second vector generated in indentical fashion. Given the first vector, how can I generate vectors to uniformally ...
1
vote
1answer
3k views

Moving point along the vector [closed]

I'm making a game. I have came across a problem. I have to move a point along a vector for some distance. Can anyone help me? Any ideas?
1
vote
2answers
259 views

Equation of a line on a plane…

Hi this question belongs to camera projections but i cannot understand the mathematics... i am not getting how the cross product of two vectors (underlined in red) gives the equation of a ...
0
votes
1answer
247 views

How would one use matrices to find a normal unit vector?

A recent class assignment involved finding a unit vector perpendicular to a plane, given two unit vectors to start with. The solution given involved using the cross product; I was wondering if such a ...
4
votes
2answers
348 views

How to calculate x,y position of 3D points?

I have points in 3D system like this $$p1=(2,3,4)$$ $$p2=(3,5,5)$$ Here I would like draw point $p1$ and $p2$ in $2D$ view. Project type = orthographic. Coordinate system = Cartesian X- axis, ...
1
vote
1answer
768 views

How to calculate rotation angle to get a set distance between two vector end points

The situation: In 3D space there are two vectors (A, B) of equal length L, but with different directions. The beginning points of these vectors are located at a distance of L as well. They could be ...
3
votes
0answers
645 views

Three-dimensional vectors and force systems

Full disclosure: this is a homework problem. However, I find myself stuck in the middle. The problem is below As shown, a system of cables suspends a crate weighing W = 350 . (Part C 1 figure) ...
0
votes
2answers
59 views

All the matrices that are orthogonal and have $q_1,q_2$

"Determine all the orthogonal matrices $Q=[q_1,q_2,q_3]$ that have as the first two columns the vectors $q_1=\frac{1}{\sqrt{6}}(-1,2,-1)^T, \ q_2=\frac{1}{\sqrt{3}}(1,1,1)^T$". I used the ...