Question

question given vector v = <1,2>, find -4v. answer attempt 1 out of 2 answer: < , >

Explanation:

Step1: Recall scalar - vector multiplication rule

If $\mathbf{v}=\langle a,b
angle$ and $k$ is a scalar, then $k\mathbf{v}=\langle ka,kb
angle$.

Step2: Identify the scalar and vector components

Here, $k = - 4$, $a = 1$, and $b = 2$.

Step3: Calculate the components of $-4\mathbf{v}$

$-4\mathbf{v}=\langle-4\times1,-4\times2
angle=\langle - 4,-8
angle$.

Answer:

$\langle - 4,-8
angle$