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Chapter 10: Q 25 (page 789)

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

Short Answer

Expert verified

The required distance is26

Step by step solution

01

Given information

Given two points (-1, 4,-3) and (-4, 3, 1).

02

Finding the distance

The distance between the points may be found as under:

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

Simplify:

9+1+16

Simplify further:

26

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Most popular questions from this chapter

Find a vector in the direction opposite to-1,-4,-6andwith magnitude 7.

In Exercises 37–42, find v and find the unit vector in the direction of v.

v=13,-23

In Exercises 36–41 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(4,3,−2),Q(0,0,3),R(−1,3,6)

Suppose that we know the reciprocal rule for limits: If limx→cg(x)=Mexists and is nonzero, then limx→c1g(x)=1MThis limit rule is tedious to prove and we do not include it here. Use the reciprocal rule and the product rule for limits to prove the quotient rule for limits.

Suppose f and g are functions such that limx→3f(x)=5,limx→4f(x)=2andlimx→3g(x)=4

Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.

limx→3-2f(x)
See all solutions

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