630 B
630 B
Create a orthogonal Vector
For this we can use the dotproduct.
Example:
V_1 = [1,6,2] \\
V_2 = ?
We know that the dot product of these two vectors must be zero, we can use that
V_1 \cdot V_2 = 0
Let's plug in our numbers
1 * V_2x + 6 * V_2y + 2 *V_2z = 0
Lets choose arbitrary numbers for V_2x
and V_2y
, for now 1
because that makes the calculation a bit easier
1*1+6*1+2*V_2z = 0
7+2V_2z = 0
V_2z = -3.5
// Note the the resulting vector can be very large
function findOrthogonalVector([x,y,z]:number[]){
return [1,1,-((x+y)/z)]
}