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Chapter 10: Q 25 (page 849)

Findu,u=2,4,-1

Short Answer

Expert verified

The required value is21.

Step by step solution

01

Given information

Given a vectoru=2,4,-1

02

Finding the norm

The norm of given vector may be found as:

u=22+42+(-1)2

Simplify:

u=21

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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(4,鈭�2),Q(鈭�2,0),R(1,鈭�5)

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

Fill in the blanks to complete each of the following theorem statements:

For 蔚>0,f(x)鈭�(L-蔚,L+蔚)if and only if<蔚.

In Exercises 37鈥�42, find vand find the unit vector in the direction of v.

v=2,1,-5

In Exercises 22鈥�29 compute the indicated quantities when u=(2,1,鈭�3),v=(4,0,1),andw=(鈭�2,6,5)

role="math" localid="1649400253452" (u脳v)脳wandu脳(v脳w)

What is meant by the triangle determined by vectors u and v in 鈩�3? How do you find the area of this triangle?
See all solutions

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