What is the cross product of #<4 , 5 ,-9 ># and #<4, 3 ,0 >#?
The vector is
The cross product of 2 vectors is calculated with the determinant
Here, we have
Verification by doing 2 dot products
The easiest way to compute is to make a matrix whose determinant is the cross product.
For our vectors we have:
Hence, we have:
Now we just need to take the determinant of this matrix to get the cross product.