Determine whether the vectors u and v are parallel, orthogonal, or neither. u = , v = A.Orthogonal B.Neither C.Parallel

Question

Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <7, -4>, v = <-28, 16> A.Orthogonal B.Neither C.Parallel

evoker · Answer

If they were perpendicular (orthogonal) the dot product will be 0, if they are parallel then the dot product will equal the product of their magnitudes,  also if they are parallel then one vector can be expressed as a scalar product to get to the other.

evoker · Answer

for the parallel dot product could also equal the opposite of the product.

ally_b · Answer

So the answer is parallel?

evoker · Answer

Yes those are parallel, or to be more exact anti-parallel.