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 ..

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.

Solutions

Expert Solution

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

Junaid answered 1 year ago

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