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Chapter 9: Q. 33 (page 603)

In Problem, 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=1,0;Q=0,1

Short Answer

Expert verified

v=-1,1positionvector=-i+j

Step by step solution

01

Step1. Given information

Initial point P-1,0

Terminal point Q0,1

We know that if Px1,y1 is the initial point and Qx2,y2is the terminal point then the position vector is

v=x2-x1,y2-y1

02

Step2. Calculations 

Asv=x2-x1,y2-y1

so for P and Q

v=0-1,1-0v=-1,1

We know that if (x,y) represent the position of point v then in vector form

v=(x,y)=x(1,0)+y(0,1)v=xi+yj

Now for v(-1,1)

v=-i+j

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