Question

given vector $\mathbf{v}=\langle 4,8\
angle$, find $0.5\mathbf{v}$ graphically by stretching the vector by its tip and then writing the result in component form.

Explanation:

Step1: Multiply each component of the vector by 0.5

Given \(\mathbf{v}=\langle4,8
angle\), for the \(x\) - component: \(0.5\times4\)

$$0.5\times4 = 2$$

For the \(y\) - component: \(0.5\times8\)

$$0.5\times8=4$$

Answer:

\(\langle2,4
angle\)