1. Let u = (-1, 3, 5) and v = (2, 4, 4)
(a) (1 point) Compute $2u - 3v$
$2(-1, 3, 5) - 3(2, 4, 4)$
$-2, 6, 10 - (6, 12, 12)$
(-8, -6, -2)$
(b) (2 points) Compute $||u + v||$
$u + v = (1, 7, 9)$
$\sqrt{(1)^2 + (7)^2 + (9)^2}$
$1 + 49 + 81$
$\sqrt{131}$
2. Let v be the position vector in the plane with magnitude 4 at an angle of $\frac{5\pi}{6}$ off of the
positive x-axis. Find the components of v.
$(4cos(\frac{5\pi}{6}), 4sin(\frac{5\pi}{6})) $
