For the following exercises, write the vector shown in component form. Given initial point P1 = (2, 1) and terminal point P2 = (−1, 2), write the vector v in terms of ...

For the following exercises, write the vector shown in component form.

Given initial point P1 = (2, 1) and terminal point P2 = (−1, 2), write the vector v in terms of i and j, then draw the vector on the graph.

Expert Solution

Consider vector v with initial point as P1 = (2, 1) and terminal point as P2 = (-1, 2).

A vector v with initial point (x1, y1) and terminal point (x2, y2) is written as,

v = (x2 – x1)i + (y2 – y1)j

Substitute (x1, y1) = (2, 1) and (x2, y2) = (-1, 2), the vector v can be written as ,

v = (x2 – x1)i + (y2 – y1)j

= {(-1) – 2}i + (2 – 1)j

= -3i + j

Therefore,

v = -3i + j

The graph of vector v is as follows:

Therefore,

v = -3i + j

Junaid answered 1 year ago

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 ..

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Question

For the following exercises, write the vector shown in component form. Given initial point P1 = (2, 1) and terminal point P2 = (−1, 2), write the vector v in terms of ...

Solutions

Expert Solution

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