Question

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

Answer 1

`< (1)/(5) , - (1)/(3) \: >`

Step-by-step 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 < \: (1)/(5) , - (1)/(3) \: > = - 5 * (1)/(5) * - 3 * - (1)/(3) = - 1 + 1 = 0`

Hence,the vector

`< (1)/(5) , - (1)/(3) \: >`

is orthogonal to vector u.