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Chapter 9: Q. 34 (page 603)

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

P=1,1;Q=2,2

Short Answer

Expert verified

v=(3,3)Positionvector=3i+3j

Step by step solution

01

Step1. Given information

initial point P

terminal point Q

these points represent a plane, there let's assume unit vector iin the positive x-axis, and jin the positive y-direction

02

step2. Calculating the vector 

P1,1=i+jQ2,2=2i+2j

it is given that vector v contains initially point P and terminal points Q, so

v=P+Q

v(x,y)=P(1,1)+Q(2,2)v=(3,3)invectorformv=(1+2)i+(1+2)jv=3i+3j

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