Question

c) draw \\(\boldsymbol{u} + \boldsymbol{v} + \boldsymbol{w}\\). (4 points)

Explanation:

Identify vector components from the grid

$$
LATEXBLOCK0
$$

Calculate the sum of the vectors

$$
LATEXBLOCK1
$$

Determine the geometric representation

The resultant vector \(\mathbf{u} + \mathbf{v} + \mathbf{w}\) starts at the origin \((0,0)\) and terminates at the point \((2,3)\).

Answer:

The resultant vector \(\mathbf{u} + \mathbf{v} + \mathbf{w}\) is represented by the component vector:

$$\langle 2, 3 angle$$

To draw this vector, place its initial point at the origin \((0,0)\) and its terminal point (arrowhead) at the coordinate \((2,3)\).