Question

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

u = <10, 6>, v = <9, 5>
Orthogonal
Parallel
Neither

Answer 1

The answer is Parallel

Answer 2

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