In: Math
For the following exercises, given v, draw v, 3v and 1/2 v.
⟨2, −1⟩
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 v 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 v 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: