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Chapter 10: Q 27 (page 789)

Find the distance between the points(0,0,...,0)and(1,1,...,1)inn-space

Short Answer

Expert verified

The required distance isn

Step by step solution

01

Given information

The given points are(0,0,...,0)and(1,1,...,1)inn-space

02

Finding the distance

The distance may be found as per formula as under:

(1-0)2+(1-0)2+(1-0)2+...ntimes

Simplify:

1+1+1+...ntimes

Simplify further:

n

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