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Chapter 10: Q 23 (page 789)

Find the distance between the points (1, 4, 7) and (-2, 3, 5).

Short Answer

Expert verified

The required distance is14

Step by step solution

01

Given information

The given two points are (1, 4, 7) and (-2, 3, 5).

02

Finding the required distance

The distance between two points as per formula is:

(-2-1)2+(3-4)2+(5-7)2

Simplify:

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

Further simplify:

14

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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(1,4,6),Q(鈭�3,5,0),R(3,2,鈭�1)

Find vand find the unit vector in the direction of v.

v=3,鈭�4

Find u+vand u-v. Also sketchu,v,u+vand u-v.

role="math" localid="1649578020551" u=3,-4andv=-1,5

A function f that satisfies the hypotheses of Rolle鈥檚 Theorem on [鈭�2, 2] and for which there are exactly three values c 鈭� (鈭�2, 2) that satisfy the conclusion of the theorem .

In Exercises 30鈥�35 compute the indicated quantities when u=(鈭�3,1,鈭�4),v=(2,0,5),andw=(1,3,13)

Find the volume of the parallelepiped determined by the vectors u, v, and w.
See all solutions

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