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Chapter 10: Q 6 TB (page 800)

Find the distance between the points (5,-2,-1) and (3, 0,-4).

Short Answer

Expert verified

The required distance is17.

Step by step solution

01

Given information

The given points are (5,-2,-1) and (3, 0,-4).

02

Finding the distance

The distance between the given points is:

(3-5)2+(0-(-2))2+(-4-(-1))2

Simplifying:

4+4+9

Simplifying further:

17

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Most popular questions from this chapter

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(1,6),Q(0,鈭�3),R(鈭�5,4)

(Hint: Think of the xy-plane as part of 鈩�3.)

Calculate the limits in Exercises 25-28, using only the continuity of linear and power functions and the limit rules. Cite each limit rule that you apply.

localid="1648227587052" limx鈫�032x2-4x+1.

What is a parallelepiped? What is meant by the parallelepiped determined by the vectors u, v and w? How do you find the volume of the parallelepiped determined by u, v and w?

If u and v are nonzero vectors in 鈩�3, what is the geometric relationship between u,v and u脳v?

limx鈫�0ex-1x
See all solutions

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