To find:
The sketch of v, 2v and 1/2 v.
Solution:
Given the v = <3,2>.
(a)
The sketch of v is shown below:
(b)
The value of 2v can be obtained as follows:
[tex]\begin{gathered} \vec{v}=<3,2> \\ \vec{2v}=2<3,2> \\ \vec{2v}=<6,4> \end{gathered}[/tex]
The sketch of 2v is shown below:
(c)
The value of 1/2 v can be obtained as follows:
[tex]\begin{gathered} \vec{v}=<3,2> \\ \frac{1}{2}\vec{v}=\frac{1}{2}<3,2> \\ \frac{1}{2}\vec{v}=<1.5,1> \end{gathered}[/tex]
The sketch of 1/2 v is shown below:
