Question

In: Math

For the following exercises, given v, draw v, 3v and 1/2 v. 〈−1, 4〉

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

⟨−1, 4⟩

Solutions

Expert Solution

Consider a vector v with the components (-1, 4).

 

Vector v starts at point (0, 0) and terminates at point (-1, 4).

Use maple to show the graph of vector v.

 

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

3v = {3 × (-1), 3 × 4}

     = (-3, 12)

 

Vector 3v starts at point (0, 0) and terminates at point (-3, 12).

Use maple to show the graph of vector 3v.

 

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

1/2v = 1/2(-1, 4)

         = {1/2 × (-1), 1/2 × 4}

         = (-1/2, 2)

 

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

Use maple to show the graph of vector ½v:

Junaid answered 1 year ago
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