Question

Given the following vectors, calculate -9v.u = (-8, -4). v = (3, -2)Answer 2 Points

Answer 1

Recall the following rule for multiplying a vector by a number. Let v= be a vector and let k be a number. Then:

$kv=k\langle a,b\rangle=\langle ka,kb\rangle$

If v=<3,-2>, then:

$-9v=-9\langle3,-2\rangle=\langle-9\cdot3,-9\cdot-2\rangle=\langle-27,18\rangle$

Therefore, the answer is:

$-9v=\langle-27,18\rangle$