# Orthogonal Vectors

1) For which values of k are the following vectors u and v orthogonal?

a) u = (2,1,3) , v = (1,7,k)

b) u = (k,k,1) , v = (k,5,6)

2) Let u,v be orthogonal unit vectors. Prove that d(u,v) = 2^(1/2)

(The questions are unrelated)

© BrainMass Inc. brainmass.com October 10, 2019, 4:36 am ad1c9bdddfhttps://brainmass.com/math/vector-calculus/orthogonal-vectors-468892

#### Solution Summary

We solve two problems involving orthogonal vectors.

$2.19