Question

question. given vector v = ⟨3, - 2⟩, find - 2v graphically by stretching the vector by its tip and then writing the result in component form. you must answer all questions above in order to submit.

Explanation:

Step1: Multiply each component by -2

Given $\vec{v}=\langle3, - 2
angle$, to find $-2\vec{v}$, we use the scalar - vector multiplication rule. If $\vec{v}=\langle v_1,v_2
angle$ and $k$ is a scalar, then $k\vec{v}=\langle kv_1,kv_2
angle$. Here $k = - 2$, $v_1=3$ and $v_2=-2$. So $-2\vec{v}=\langle-2\times3,-2\times(-2)
angle$.

Step2: Calculate the new components

$-2\times3=-6$ and $-2\times(-2) = 4$. So $-2\vec{v}=\langle-6,4
angle$.

Answer:

$\langle-6,4
angle$