Question

Use the vectors in the figure below to graph the following vector

Answer 1

Given:

The given vector is w.

Required:

We need to draw 3w.

Step-by-step explanation:

Use the Pythagorean theorem to find the magnitude AB.

Let the origin be (0,0).

Point A is (0,4) and point B is (3,0).

The magnitude of AB is (3-0,0-4)

`w=(3,-4)`

Multiply the equation by 3 to find 3w.

`3\cdot w=3\cdot(3,-4)`

`3w=(3\cdot3,3\cdot(-4))`

`3w=(9,-12)`

Consider any point on the graph and take it as the origin (0,0) and mark (9,-12) and joint them as follows.

Final answer: