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Chapter 9: Q. 32 (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.
localid="1646772083085" P=(-1,4,-2);Q=(6,2,2)

Short Answer

Expert verified

The position vector is谓=7i-2j+4k

Step by step solution

01

Step 1. Given data 

Initial point isP(x1,y1,z1)=(-1,4,-2)

Terminal point isQ(x2,y2,z2)=(6,2,2)

02

Step 2. Position Vector 

Use position vector formula

谓=(x2-x1)i+(y2-y1)j+(z2-z1)k谓=(6-(-1))i+(2-4)j+(2-(-2))k谓=7i-2j+4k

So position vector is谓=7i-2j+4k

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