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Chapter 9: Q. 39 (page 630)

A vector v has initial point P=1,3,-2and terminal point Q=4,-2,1. Write vin the formv=ai+bj+ck.

Short Answer

Expert verified

The vector is3i-5j+3k.

Step by step solution

01

Step 1. Given Information

The initial point of vector v isP=1,3,-2and the terminal point of vector v isQ=4,-2,1.

02

Step 2. Writing vector v in the form v=ai+bj+ck

To write the vector v, we will use initial and terminal points in the way such as v=x2-x1i+y2-y1j+z2-z1k

Here,

P=x1,y1,z1=1,3,-2Q=x2,y2,z2=4,-2,1

So,

role="math" localid="1646990954182" v=x2-x1i+y2-y1j+z2-z1kv=4-1i+-2-3j+1+2kv=3i-5j+3k

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