Question

part e
below is the graph of vector w. write the components of -2w.

Explanation:

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

From the graph, vector \( \mathbf{w} \) starts at the origin \((0,0)\) and ends at \((2,1)\). So, the components of \( \mathbf{w} \) are \( \langle 2, 1
angle \).

Step2: Multiply by -2 to get \( -2\mathbf{w} \)

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

Answer:

The components of \( -2\mathbf{w} \) are \( \langle -4, -2
angle \)