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Chapter 10: Q 1 (page 848)

Find the distance between the points (1, 2,-3) and (4, 7,-3).

Short Answer

Expert verified

The required distance is34

Step by step solution

01

Given information 

Two points in鈩�3,(1,2,鈭�3)and(4,7,鈭�3)

02

Finding the distance

The required distance can be found as per the formula:

(4-1)2+(7-2)2+(-3-(-3))2

Simplifying:

9+25+0

Simplify further:

34

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Most popular questions from this chapter

For each function f and value x = c in Exercises 35鈥�44, use a sequence of approximations to estimate f'(c). Illustrate your work with an appropriate sequence of graphs of secant lines.

role="math" localid="1648705352169" f(x)=ex,c=0

In Exercises 36鈥�41 use the given sets of points to find:

(a) A nonzero vector N perpendicular to the plane determined by the points.

(b) Two unit vectors perpendicular to the plane determined by the points.

(c) The area of the triangle determined by the points.

P(2,鈭�5,1),Q(鈭�4,5,8),R(鈭�1,鈭�5,3)

In Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.

u=3,-1,2,v=-4,-6,3

In Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.

u=1,2,v=3,5

In Exercises 30鈥�35 compute the indicated quantities when

u=(鈭�3,1,鈭�4),v=(2,0,5),andw=(1,3,13)

u脳vandv脳u
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