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Chapter 10: Q 27 (page 789)

Find the distance between (-1, 3, 5, 2, 0) and (0, 6, 1,-2, 3).

Short Answer

Expert verified

The required distance is51

Step by step solution

01

Given information

The given points are (-1, 3, 5, 2, 0) and (0, 6, 1,-2, 3).

02

Finding the distance

The distance may be found as under:

(0-(-1))2+(6-3)2+(1-5)2+(-2-2)2+(3-0)2

Simplifying:

1+9+16+16+9

Further simplify:

51

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Most popular questions from this chapter

In Exercises 22鈥�29 compute the indicated quantities when u=(2,1,鈭�3),v=(4,0,1),andw=(鈭�2,6,5)

role="math" localid="1649400253452" (u脳v)脳wandu脳(v脳w)

1鈭� that approaches (a)1,(b)e,(c)鈭�.

In Exercises 22鈥�29 compute the indicated quantities when u=(2,1,鈭�3),v=(4,0,1),andw=(鈭�2,6,5)

Find the area of the parallelogram determined by the vectors v and w.

In Exercises 24-27, find compuv,projuv and the component of v orthogonal tou.

u=2,0,-5,v=-3,7,-1

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

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