ALGEBRA AND TRIGONOMETRY-WEBASSIGN
4th Edition
ISBN: 2818000007824
Author: Stewart
Publisher: CENGAGE L
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Chapter 9.4, Problem 48E
To determine
(a)
To find:
The scalar multiple of
To determine
(b)
To find:
Unit vector of the given vectors multiplying by an appropriate scalar.
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Students have asked these similar questions
A unit vector is a vector of magnitude 1. Multiplying a vector by a scalar changes its magnitude but not its direction.
(a) If a vector v has magnitude m, what scalar multiple of v has magnitude 1 (that is, is a unit vector)?
(b) Multiply each of the following vectors by an appropriate scalar to change them into unit vectors.
(1, –2, 2)
(-6, 8, –10)
(7, 5, 9)
Using the vectors shown in the figure, write each sum or difference as a single vector.
A
(a) AB + BC
(b) CD + DB
(c) DB - AB
D
(d) DC + CA + AB
Need Help? Read It
C
B
i
State whether each expression is meaningful. If not, explain why. If so, state whether it is a vector or a scalar.
(a) a· (b x c)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(b) a x (b· c)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(с) аx (Ьx с)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(d) a.
(Ь с)
The expression is meaningful. It is a vector.
The expression is…
Chapter 9 Solutions
ALGEBRA AND TRIGONOMETRY-WEBASSIGN
Ch. 9.1 - Prob. 1ECh. 9.1 - CONCEPTS 2. a The length of a vector w=a1,a2 is...Ch. 9.1 - 38 Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - SKILLS 3-8 Sketching Vectors Sketch the vector...Ch. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - Prob. 10E
Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - 19-22Sketching VectorsSketch the given vector with...Ch. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - 27-30Writing Vectors in terms of i and jWrite the...Ch. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - 31-36 Operations with vectors Find 2u, 3v, u+v,...Ch. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Prob. 39ECh. 9.1 - Prob. 40ECh. 9.1 - Prob. 41ECh. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Components of a VelocityA jet is flying in a...Ch. 9.1 - Prob. 55ECh. 9.1 - VelocitySuppose that in Exercise 55 the current is...Ch. 9.1 - VelocityThe speed of an airplane is 300 mi/h...Ch. 9.1 - Prob. 58ECh. 9.1 - Prob. 59ECh. 9.1 - Prob. 60ECh. 9.1 - True Velocity of a JetFind the true speed and...Ch. 9.1 - Prob. 62ECh. 9.1 - Prob. 63ECh. 9.1 - Velocity of a Boat The boater in Exercise 63 wants...Ch. 9.1 - Prob. 65ECh. 9.1 - Prob. 66ECh. 9.1 - Prob. 67ECh. 9.1 - Prob. 68ECh. 9.1 - Prob. 69ECh. 9.1 - Prob. 70ECh. 9.1 - Prob. 71ECh. 9.1 - Prob. 72ECh. 9.1 - Prob. 73ECh. 9.1 - Equilibrium of Tensions The cranes in the figure...Ch. 9.1 - Prob. 75ECh. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - SKILLS 29-34Vector Projection of uonto va...Ch. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Prob. 48ECh. 9.2 - Prob. 49ECh. 9.2 - Prob. 50ECh. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.4 - A vector in three dimensions can be written in...Ch. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - Prob. 4ECh. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Prob. 10ECh. 9.4 - Prob. 11ECh. 9.4 - Prob. 12ECh. 9.4 - Prob. 13ECh. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - Prob. 24ECh. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Prob. 34ECh. 9.4 - Prob. 35ECh. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.4 - Prob. 39ECh. 9.4 - Prob. 40ECh. 9.4 - Prob. 41ECh. 9.4 - Prob. 42ECh. 9.4 - Prob. 43ECh. 9.4 - Prob. 44ECh. 9.4 - Prob. 45ECh. 9.4 - Prob. 46ECh. 9.4 - Prob. 47ECh. 9.4 - Prob. 48ECh. 9.4 - Prob. 49ECh. 9.4 - Central Angle of a Tetrahedron A tetrahedron is a...Ch. 9.4 - Prob. 51ECh. 9.5 - Prob. 1ECh. 9.5 - Prob. 2ECh. 9.5 - Prob. 3ECh. 9.5 - Prob. 4ECh. 9.5 - Prob. 5ECh. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - Prob. 12ECh. 9.5 - Prob. 13ECh. 9.5 - Prob. 14ECh. 9.5 - Prob. 15ECh. 9.5 - Prob. 16ECh. 9.5 - Prob. 17ECh. 9.5 - Prob. 18ECh. 9.5 - Prob. 19ECh. 9.5 - Prob. 20ECh. 9.5 - Prob. 21ECh. 9.5 - Prob. 22ECh. 9.5 - Prob. 23ECh. 9.5 - Prob. 24ECh. 9.5 - Prob. 25ECh. 9.5 - Prob. 26ECh. 9.5 - Prob. 27ECh. 9.5 - Prob. 28ECh. 9.5 - Prob. 29ECh. 9.5 - Prob. 30ECh. 9.5 - Prob. 31ECh. 9.5 - Prob. 32ECh. 9.5 - Prob. 33ECh. 9.5 - Prob. 34ECh. 9.5 - Prob. 35ECh. 9.5 - Prob. 37ECh. 9.6 - Prob. 1ECh. 9.6 - Prob. 2ECh. 9.6 - Prob. 3ECh. 9.6 - Prob. 4ECh. 9.6 - Prob. 5ECh. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Prob. 8ECh. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Prob. 11ECh. 9.6 - Prob. 12ECh. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - Prob. 15ECh. 9.6 - Prob. 16ECh. 9.6 - Prob. 17ECh. 9.6 - Prob. 18ECh. 9.6 - Prob. 19ECh. 9.6 - Prob. 20ECh. 9.6 - Prob. 21ECh. 9.6 - Prob. 22ECh. 9.6 - Prob. 23ECh. 9.6 - Prob. 24ECh. 9.6 - Prob. 25ECh. 9.6 - Prob. 26ECh. 9.6 - Prob. 27ECh. 9.6 - Prob. 28ECh. 9.6 - Prob. 29ECh. 9.6 - Prob. 30ECh. 9.6 - Prob. 31ECh. 9.6 - Prob. 32ECh. 9.6 - Prob. 33ECh. 9.6 - Prob. 34ECh. 9.6 - Prob. 35ECh. 9.6 - Prob. 36ECh. 9.6 - Prob. 37ECh. 9.CR - aWhat is a vector in the plane? How do we...Ch. 9.CR - Prob. 2CCCh. 9.CR - Prob. 3CCCh. 9.CR - Prob. 4CCCh. 9.CR - Prob. 5CCCh. 9.CR - Prob. 6CCCh. 9.CR - Prob. 7CCCh. 9.CR - Prob. 8CCCh. 9.CR - Prob. 9CCCh. 9.CR - Prob. 10CCCh. 9.CR - Prob. 1ECh. 9.CR - Prob. 2ECh. 9.CR - Prob. 3ECh. 9.CR - Prob. 4ECh. 9.CR - Prob. 5ECh. 9.CR - Prob. 6ECh. 9.CR - Prob. 7ECh. 9.CR - Prob. 8ECh. 9.CR - Prob. 9ECh. 9.CR - Prob. 10ECh. 9.CR - Prob. 11ECh. 9.CR - True Velocity of a PlaneAn airplane heads N60E at...Ch. 9.CR - Prob. 13ECh. 9.CR - Prob. 14ECh. 9.CR - Prob. 15ECh. 9.CR - Prob. 16ECh. 9.CR - Prob. 17ECh. 9.CR - Prob. 18ECh. 9.CR - Prob. 19ECh. 9.CR - Prob. 20ECh. 9.CR - Prob. 21ECh. 9.CR - Prob. 22ECh. 9.CR - Prob. 23ECh. 9.CR - Prob. 24ECh. 9.CR - Prob. 25ECh. 9.CR - Prob. 26ECh. 9.CR - Prob. 27ECh. 9.CR - Prob. 28ECh. 9.CR - Prob. 29ECh. 9.CR - Prob. 30ECh. 9.CR - Prob. 31ECh. 9.CR - Prob. 32ECh. 9.CR - Prob. 33ECh. 9.CR - Prob. 34ECh. 9.CR - Prob. 35ECh. 9.CR - Prob. 36ECh. 9.CR - Prob. 37ECh. 9.CR - Prob. 38ECh. 9.CR - Prob. 39ECh. 9.CR - Prob. 40ECh. 9.CR - Prob. 41ECh. 9.CR - Prob. 42ECh. 9.CR - Prob. 43ECh. 9.CR - Prob. 44ECh. 9.CR - Prob. 45ECh. 9.CR - Prob. 46ECh. 9.CR - Prob. 47ECh. 9.CR - Prob. 48ECh. 9.CR - Prob. 49ECh. 9.CR - Prob. 50ECh. 9.CR - Prob. 51ECh. 9.CR - Prob. 52ECh. 9.CR - Prob. 53ECh. 9.CR - Prob. 54ECh. 9.CT - TEST Let u be the vector with the initial point...Ch. 9.CT - TEST Let u=1,3 and v=6,2. a Find u3v. b Find...Ch. 9.CT - Prob. 3CTCh. 9.CT - Prob. 4CTCh. 9.CT - Prob. 5CTCh. 9.CT - Prob. 6CTCh. 9.CT - Prob. 7CTCh. 9.CT - Prob. 8CTCh. 9.CT - Prob. 9CTCh. 9.CT - Prob. 10CTCh. 9.CT - Prob. 11CTCh. 9.FOM - Prob. 1PCh. 9.FOM - 1-6 Sketch the vector field F by drawing a diagram...Ch. 9.FOM - 1-6 Sketch the vector field F by drawing a diagram...Ch. 9.FOM - 1-6 Sketch the vector field F by drawing a diagram...Ch. 9.FOM - Prob. 5PCh. 9.FOM - Prob. 6PCh. 9.FOM - Prob. 7PCh. 9.FOM - Prob. 8PCh. 9.FOM - Prob. 9PCh. 9.FOM - Prob. 10PCh. 9.FOM - Prob. 11PCh. 9.FOM - Prob. 12PCh. 9.FOM - Prob. 13PCh. 9.FOM - Prob. 14PCh. 9.FOM - Prob. 15PCh. 9.FOM - Prob. 16PCh. 9.FOM - Prob. 17PCh. 9.FOM - Prob. 18PCh. 9.FOM - Prob. 19P
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