Given:
The given vector is w.
Required:
We need to draw 3w.
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)
[tex]w=(3,-4)[/tex]
Multiply the equation by 3 to find 3w.
[tex]3\cdot w=3\cdot(3,-4)[/tex]
[tex]3w=(3\cdot3,3\cdot(-4))[/tex]
[tex]3w=(9,-12)[/tex]
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:
