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Chapter 9: Q. 31 (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=-2,-1;Q=6,-2

Short Answer

Expert verified

v=8,-1Positionvector=8i-j

Step by step solution

01

Step 1. Giving information

Initial point P-2,-1

Terminal point Q6,-2

We know that if Px1,y1is the initial point and Qx2,y2is the terminal point then the position vector is

v=x2-x1,y2-y1

02

Step2. Calculating the position vector 

Asv=x2-x1,y2-y1

so for P and Q

v=6-(-2),-2-(-1)v=8,-1

03

Step3. Position vector

We know that if (a,b) represents the position of point v then in vector form

v=x,y=1,0x+0,1y

Now for v(8,-1)

v=8i-j

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Most popular questions from this chapter

In Problems 13鈥�28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

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