Question 286948
to get the opposite direction, change the signs of the components


w = <-5k, 1k, -4k>

the "k" is the factor to make the magnitude of w equal 12


the magnitude is the length of the vector
___ found by using the Pythagorean theorem on the components
___ m^2 = x^2 + y^2 + z^2


144 = 25k^2 + k^2 + 16k^2 = 42k^2


k = sqrt(144/42) = 1.852 (approx)


plug in the value of k to find the components of w