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