Question

The vector u is graphed. which of the vectors below would be orthogonal to vector u?

Answer 1

ANSWER

$< \frac{1}{5} , - \frac{1}{3} \: >$

EXPLANATION

The given vector , u has the following components,

$u = < \: - 5 , - 3 \: >$

If two vectors are orthogonal, then their dot product is zero.

$< \: - 5 , - 3 \: > \bullet < \: \frac{1}{5} , - \frac{1}{3} \: > = - 5 \times \frac{1}{5} \times - 3 \times - \frac{1}{3} = - 1 + 1 = 0$

Hence,the vector

$< \frac{1}{5} , - \frac{1}{3} \: >$

is orthogonal to vector u.