- #1

- 297

- 6

## Homework Statement

Find a vector that has the same direction as <-2, 4, 2> but has length 6.

## Homework Equations

Length of vector in 3D = |v| = (x

^{2}+ y

^{2}+ z

^{2})

^{0.5}

## The Attempt at a Solution

I can see that the length of the given vector is (-2)

^{2}+ 4

^{2}+ 2

^{2}= 24

36 is (1.5)24, so I tried multiplying each component of the vector by the scalar 1.5. However, this doesn't give me the desired length of six (rather, it gives me the square root of 54). I had a feeling this method would be faulty, but nothing else comes to mind.