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)]
}