Question

Grade 12 vectros 6.4,5,6,7 Q10 Let →v=⟨3,2⟩.Sketch →v, Sketch −2→v, and Sketch 1/2v→

Answer 1

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:

`\begin{gathered} \vec{v}=<3,2> \\ \vec{2v}=2<3,2> \\ \vec{2v}=<6,4> \end{gathered}`

The sketch of 2v is shown below:

(c)

The value of 1/2 v can be obtained as follows:

`\begin{gathered} \vec{v}=<3,2> \\ (1)/(2)\vec{v}=(1)/(2)<3,2> \\ (1)/(2)\vec{v}=<1.5,1> \end{gathered}`

The sketch of 1/2 v is shown below: