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Chapter 9: Q. 27 (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="1646770275869" P=(0,0,0);Q=(3,4,-1)

Short Answer

Expert verified

The position vector is谓=3i+4j-1k

Step by step solution

01

Step 1. Given data

Initial point isP(x1,y1,z1)=(0,0,0)

Terminal point isQ(x2,y2,z2)=(3,4,-1)

02

Step 2. Position Vector

Use position vector formula

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

So position vector is 谓=3i+4j-1k

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