Question

In: Math

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

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

⟨2, −1⟩

Solutions

Expert Solution

Consider a vector v with the components (2, -1)

 

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

Use maple to show the graph of vector v.

 

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

3v = {3 × 2, 3 × (-1)}

     = (6, -3)

 

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

Use maple to show the graph of vector 3v.

 

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

1/2v = 1/2(2, -1)

        = {1/2 × 2, 1/2 × (-1)}

        = (-1, -1/2)

 

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

Use maple to show the graph of vector ½v:


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