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Chapter 9: Q. 28 (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.

P=(0,0,0);Q=(-3,-5,4)

Short Answer

Expert verified

The position vector is谓=-3i-5j+4k

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,-5,4)

02

Step 2. Position Vector 

Use position vector formula

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

So position vector is谓=-3i-5j+4k

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