Question

In: Math

For the following exercises, given v, draw v, 3v and 1/2 v. 〈−3, −2〉

For the following exercises, given v, draw v, 3v and 1/2 v.

⟨−3, −2⟩

Solutions

Expert Solution

Consider a vector v with the components (-3, -2).

 

Vector v starts at point (0, 0) and terminates at point (-3, -2).

Use maple to show the graph of vector v.

 

Multiply each component of vector by 3 to compute 3v:

3v = {3 × (-3), 3 × (-2)}

     = (-9, -6)

 

Vector 3v starts at point (0, 0) and terminates at point (-9, -6).

 

Use maple to show the graph of vector 3v.

 

Multiply each component of vector by 1/2 to compute ½v

½ v = ½(-3, -2)

       = {1/2 × (-3), 1/2 × (-2)}

       = (-3/2, -1)

 

Vector ½v starts at point (0, 0) and terminates at point (-3/2, -1).

 

Use maple to show the graph of vector ½v:


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