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Q. 30

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Precalculus Enhanced with Graphing Utilities

Found in: Page 603

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

In Problem, the vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.

$v = (9, 3) P o s i t i o n v e c t o r (9 i + 3 j)$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step1. Given Information

Initial point P $(- 3, 2)$

Terminal point Q $(6, 5)$

We know that if P $(x_{1}, y_{1})$ is the initial point and Q $(x_{2,} y_{2})$ is the terminal point then the position vector is

$v = ((x_{2} - x_{1}), (y_{2} - y_{1}))$

Step 2. Calculating the position vector

$v = ((x_{2} - x_{1}), (y_{2} - y_{1}))$

for P (-3,2)

and Q (6,5)

$v = ((6 - (- 3)), (5 - 2)) v = (9, 3)$

in vector form $v = 9 i + 3 j$

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