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

$$
11+61+2*V_2z = 0
$$
$$
7+2V_2z = 0
$$
$$
V_2z = -3.5
$$

// Note the the resulting vector can be very large
function findOrthogonalVector([x,y,z]:number[]){
	return [1,1,-((x+y)/z)]
}