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Chapter 10: Q 28. (page 801)

Find u+vandu-valso sketch u,v,u+v,u-v

role="math" localid="1649603943715" u=3,6,11andv=1,-2,3

Short Answer

Expert verified

The required value ofu+v=4,4,14andu-v=2,8,8.

Step by step solution

01

Step 1. Given information. 

We have given vectoru=3,6,11andv=1,-2,3

02

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

u+v=x1+x2,y1+y2,z1+z2=3+1,6+-2,11+3=4,4,14andu-v=x1-x2,y1-y2,z1-z2=3-1,6--2,11-3=2,8,8

03

Step 3. Sketch  u, v, u+v and u-v.

The graph of vector u+v.

The graph of vector u-v.

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