In: Math
For the following exercises, write the vector shown in component form.
Given initial point P1 = (4, −1) and terminal point P2 = (−3, 2), write the vector v in terms of i and j. Draw the points and the vector on the graph.
Consider vector v with initial point as P1 = (4, -1) and terminal point as P2 = (-3, 2).
A vector v with initial point (x1, y1) and terminal point (x2, y2), therefore
v = (x2 – x1)i + (y2 – y1)j
Substitute (x1, y1) = (4, -1)( and (x2, y2) = (-3, 2), therefore
v = (x2 – x1)i + (y2 – y1)j
= {(-3) – 4}i + {2 – (-1)}j
= -7i + 3j
Therefore,
v = -7i + 3j
Use maple to show the graph of above point and vector:
v = -7i + 3j