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Chapter 10: Q. 19 (page 801)

How do you generalize the ideas of this section to vectors with four components? To vectors with n components?

Short Answer

Expert verified

If there are two vectors u and v in four components such thatu=x1,y1,z1,w1andv=x2,y2,z2,w2v=m,n,o,p, then the two vectors will be added component-wise.

Step by step solution

01

Given information

Let two vectors u and v in four components such thatu=x1,y1,z1,w1 and v=x2,y2,z2,w2

02

Adding the vectors with four and 'n' components.

To add the two vectors with four components, add the component as follows.

u+v=x1+x2,y1+y2,z1+z2,w1+w2u+v=x1+x2+....+xn,y1+y2+...+yn,z1+z2+....+zn,w1+w2+....+wn

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