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Chapter 9: Q.29 (page 621)

In Problems, the vector v has initial point P and terminal point Q. Write v in the formai+bj+ck; that is, find its position vector.

role="math" localid="1646783809785" P=(3,2,-1);Q=(5,6,0)

Short Answer

Expert verified

The position vector is谓=2i+4j+k

Step by step solution

01

Step 1. Given data  

Initial point isP(x1,y1,z1)=(3,2,-1)

Terminal point isQ(x2,y2,z2)=(5,6,0)

02

Step 2. Position Vector 

Use position vector formula

谓=(x2-x1)i+(y2-y1)j+(z2-z1)k谓=(5-3)i+(6-2)j+(0--1)k谓=2i+4j+k

So position vector is谓=2i+4j+k

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