Determine whether the vectors u and v are parallel, orthogonal, or neither.

u =, v =

Orthogonal

Parallel

Neither

The dot product here is 10 (9) + 6 (5) = 120

so the vectors are not orthogonal

u. v = |u| x |v| cos (theta); theta is the angle between them

we know from above that u. v = 120

|u| = sqrt[10^2+6^2]=11.66

|v| = sqrt[9^2+5^2]=10.29

so we know:

theta = cos^-1 120 / (11.66x10.29)

so theta = 25 degrees