Question

part d
below is a graph of vector v. write the components of \\( \frac{1}{2}\mathbf{v} \\).

Explanation:

Step1: Find components of vector \( \mathbf{v} \)

From the graph, the vector \( \mathbf{v} \) starts at the origin \((0,0)\) and ends at \((6,4)\). So, the components of \( \mathbf{v} \) are \( \langle 6, 4
angle \).

Step2: Calculate \( \frac{1}{2}\mathbf{v} \)

To find \( \frac{1}{2}\mathbf{v} \), we multiply each component of \( \mathbf{v} \) by \( \frac{1}{2} \).
For the \( x \)-component: \( \frac{1}{2} \times 6 = 3 \)
For the \( y \)-component: \( \frac{1}{2} \times 4 = 2 \)

Answer:

The components of \( \frac{1}{2}\mathbf{v} \) are \( \langle 3, 2
angle \)