Question

question given vector v = <-3, -6>, find 2v. answer attempt 1 out of 2 answer: < , > submit answer

Explanation:

Step1: Recall scalar - vector multiplication rule

For a vector $\mathbf{v}=\langle a,b
angle$ and a scalar $k$, $k\mathbf{v}=\langle ka,kb
angle$.
Here, $\mathbf{v}=\langle - 3,-6
angle$ and $k = 2$.

Step2: Calculate the components of $2\mathbf{v}$

$2\mathbf{v}=\langle2\times(-3),2\times(-6)
angle$.
$2\times(-3)=-6$ and $2\times(-6)=-12$.
So, $2\mathbf{v}=\langle - 6,-12
angle$.

Answer:

$\langle -6,-12
angle$