Find a vector with length 2 that points in the same direction as i - j + 2k.?

Answer 1

Let
v = i - j + 2k = <1, -1, 2>

Find the magnitude of v.

|| v || = √[1² + (-1)² + 2²] = √(1 + 1 + 4) = √6

To get a vector of length 2 multiply by 2/√6. The desired vector is:

(2/√6)v = <2/√6, -2/√6, 4/√6>