Question

If u = <-4, 8> and v = <-7, 5>, what is ||v − 5u|| ?

Answer 1

√1394

Explanation:

The resultant vector is the specified sum of the component vectors.

v - 5u = <-7-5(-4), 5-5·8> = <13, -35>

The magnitude of the result is the root of the sum of the squares of the components.

║v -5u║ = √(13² +(-35)²) = √1394