Perform the indicated operation. Use the form <a, b> for vectors.
-v = <1, -7>, w = <-6, -3>, u = <-9, -1>; Find v + w - 7u.

Question

Perform the indicated operation. Use the form for vectors. -v = <1, -7>, w = <-6, -3>, u = <-9, -1>; Find v + w - 7u. A) <58, -3> B) <-6, -9, 70> C) <-15, 70> D) <-14, -11>

Quizplus · Accepted Answer

To find $v + w - 7u$, we first add $v$ and $w$, and then subtract $7u$. So, $v + w = \langle 1, -7 \rangle + \langle -6, -3 \rangle = \langle 1-6, -7-3 \rangle = \langle -5, -10 \rangle$. Then, $7u = 7\langle -9, -1 \rangle = \langle -63, -7 \rangle$. Finally, $\langle -5, -10 \rangle - \langle -63, -7 \rangle = \langle -5+63, -10+7 \rangle = \langle 58, -3 \rangle$.

Perform the Indicated Operation