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Chapter 10: Q 23. (page 801)

Find u+vand u-v. Also, sketch u,v,u+vand u-v.

role="math" localid="1649572653771" u=2,-6,v=6,2,

Short Answer

Expert verified

The required value of u+v=8,-4andu-v=-4,-8

Step by step solution

01

Step 1. Given information.  

We have given vectoru=2,-6,v=6,2

02

Step 2. Find the values of u+v and  u-v.

u+v=x1+x2,y1+y2=2+6,-6+2=8,-4

and

localid="1649577561095" u-v=x1-x2,y1-y2=2-6,-6-2=-4,-8

03

Step 3. Sketchu, v, u+vand u-v.

The graph of vectoru+v.

The graph of vector u-v.

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