Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Question
Chapter 3, Problem 4Q
To determine
To explain:
the subtraction of two vectors
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Students have asked these similar questions
Let vectors A⃗=(2,−4)
A
→
=
(
2
,
−
4
)
and B⃗=(−3,1)
B
→
=
(
−
3
,
1
)
.
Calculate the following:
What is the magnitude of B⃗
B
→
?
A small sphere slides without friction on a smooth wire bent in the shape of acycloid (figure 2) whose parametric equation is:
x =a( ϴ− sinϴ )y = a (1 + cos ϴ)
Remark: A parametric equation is composed of the (x, y) coordinates of the system and is counted as asingle equation even if the coordinates are separated.
Get the following for the above statement:
a) Restriction equations.
b) Number of degrees of freedom
c) The kinetic energy of the system.
d) The potential energy of the system
e) The equations that describe the motion of the system
B5
Chapter 3 Solutions
Fundamentals of Physics Extended
Ch. 3 - Can the sum of the magnitudes of two vectors ever...Ch. 3 - The two vectors shown in Fig. 3-21 lie in an xy...Ch. 3 - Being part of the Gators, the University of...Ch. 3 - Prob. 4QCh. 3 - Which of the arrangements of axes in Fig. 3-23 can...Ch. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - If ab=ac, must b equal c?Ch. 3 - If F = qv B and v is perpendicular to B, then...Ch. 3 - Figure 3-25 shows vector A and four other vectors...
Ch. 3 - In a game held within a three-dimensional maze,...Ch. 3 - The x and y components of four vectors a,b,c and d...Ch. 3 - Which of the following are correct meaningful...Ch. 3 - SSM What are a the x component and b the y...Ch. 3 - A displacement vector r in the xy plane is 15 m...Ch. 3 - SSM The x component of vector A is 25.0 m and the...Ch. 3 - Express the following angles in radians: a 20.0, b...Ch. 3 - A ship sets out to sail to a point 120 km due...Ch. 3 - In Fig. 3-27, a heavy piece of machinery is raised...Ch. 3 - Consider two displacements, one of magnitude 3 m...Ch. 3 - A person walks in the following pattern: 3.1 km...Ch. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - SSM a In unit-vector notation, what is the sum a ...Ch. 3 - A car is driven east for a distance of 50 km, then...Ch. 3 - A person desires to reach a point that is 3.40 km...Ch. 3 - You are to make four straight-line moves over a...Ch. 3 - SSM ILW WWW The two vectors a and b in Fig. 3-28...Ch. 3 - For the displacement vectors a=(3.0m)i+(4.0m)j and...Ch. 3 - GO ILW Three vectors a, b, and c each have a...Ch. 3 - Prob. 18PCh. 3 - In a game of lawn chess, where pieces are moved...Ch. 3 - An explorer is caught in a whiteout in which the...Ch. 3 - GO An ant, crazed by the Sun on a hot Texas...Ch. 3 - a What is the sum of the following four vectors in...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - GO Oasis B is 25 km due east of oasis A. Starting...Ch. 3 - What is the sum of the following four vectors in a...Ch. 3 - GO If d+d2=5d3,d1d2=3d3, and d3=2 i +4 j , then...Ch. 3 - Two beetles run across flat sand, starting at the...Ch. 3 - GO Typical backyard ants often create a network of...Ch. 3 - GO Here are two vectors: a=(4.0m)i...Ch. 3 - In Fig. 3-30, a vector a with a magnitude of 17.0...Ch. 3 - In Fig. 3-31, a cube of edge length a sits with...Ch. 3 - For the vectors in Fig. 3-32, with a = 4, b = 3,...Ch. 3 - Prob. 34PCh. 3 - Two vectors, r and s, lie in the xy plane. Their...Ch. 3 - If d1=3i2j+4k and d2=5i+2jk, then what is...Ch. 3 - Prob. 37PCh. 3 - GO For the following three vectors, what is...Ch. 3 - Prob. 39PCh. 3 - GO Displacement d1 is in the yz plane 63.0 from...Ch. 3 - SSM ILW WWW Use the definition of scalar product,...Ch. 3 - In a meeting of mimes, mime 1 goes through a...Ch. 3 - SSM ILW The three vectors in Fig. 3-33 have...Ch. 3 - Prob. 44PCh. 3 - Vectors A and B lie in an xy plane. A has...Ch. 3 - GO Vector a has a magnitude of 5.0 m and is...Ch. 3 - Vectors A and B lie in an xy plane. A has...Ch. 3 - GO Two vectors a and b have the components, in...Ch. 3 - SSM A sailboat sets out from the U.S. side of Lake...Ch. 3 - Vector d1 is in the negative direction of a y...Ch. 3 - Rock faults are ruptures along which opposite...Ch. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - For the vectors in Fig. 3-32, with a = 4, b = 3,...Ch. 3 - A particle undergoes three successive...Ch. 3 - Find the sum of the following four vectors in a...Ch. 3 - Prob. 57PCh. 3 - A vector d has a magnitude of 2.5 m and points...Ch. 3 - A has the magnitude 12.0 m and is angled 60.0...Ch. 3 - If a b = 2 c, a b = 4 c, and c = 3 j 4 j, then...Ch. 3 - a In unit-vector notation, what is r = a b c if a...Ch. 3 - A golfer takes three putts to get the ball into...Ch. 3 - Prob. 63PCh. 3 - SSM WWW A room has dimensions 3.00 m height 3.70...Ch. 3 - A protester carries his sign of protest, starting...Ch. 3 - Consider a in the positive direction of x, b in...Ch. 3 - Let i be directed to the east, j be directed to...Ch. 3 - A bank in downtown Boston is robbed see the map in...Ch. 3 - A wheel with a radius of 45.0 cm rolls without...Ch. 3 - A woman walks 250 m in the direction 30 east of...Ch. 3 - A vector d has a magnitude 3.0 m and is directed...Ch. 3 - A fire ant, searching for hot sauce in a picnic...Ch. 3 - Two vectors are given by a = 3.0 i 5.0 j and b =...Ch. 3 - Prob. 74PCh. 3 - Find a north cross west, b down dot south, c east...Ch. 3 - A vector B, with a magnitude of 8.0 m, is added to...Ch. 3 - A man goes for a walk, starting from the origin of...Ch. 3 - What is the magnitude of a b a if a = 3.90, b =...Ch. 3 - In Fig. 3-38, the magnitude of a is 4.3, the...
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Similar questions
- Calculate the following commutators: (a) [P, â² ] (b) [x², p²]arrow_forward2 points in the xy plane have A = (2, -4) and B = (-3,3). Determine the distance between points A and B and find their polar coordinates.arrow_forwardIf A = 4i − 3k and B = −2i + 2j − k, find the scalar projection of A on B, the scalar projection of B on A, and the cosine of the angle between A and B.arrow_forward
- I know that E is the correct answer. I understand why statement I is correct, but why is statement 2 wrong and statement 3 right?arrow_forwardpls write the answers legiblyarrow_forwardLet vectors A→ =(2,−4) and B→=(−3,1).Calculate the following: (A) A→ * B→ (B) what is the magnitude of A→ (C) what is the magnitude of B→ (D) what is the angle θAB between A→ and B→arrow_forward
- Let vectors A =(2,−1,1), B =(3,0,5), and C =(1,4,−2) where (x,y,z) are the components of the vectors along i^ , j^, and k^ respectively. Calculate the following:arrow_forwardOn more than two vectors. The first has a standard of 11m/s, the other a standard of 3m/s. All directions are possible. In addition to these two vectors; Give the set of all possible values for the norm of this sum.arrow_forwardP.1: Let lu) = (3). l») = (). a) Find the norm of Ju) and |v). Are these vectors normalized? b) If a = 4 – 2i, find alu). c) Find (ulv), (vlu).arrow_forward
- If vectors A = (4.5, -2.5) and B = (3, 6), what is C = 2A – B?arrow_forwardThe three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4) and C(-3, 1, 5). Find: (а) RAB X RAC (b) the area of the triangle (c) a unit vector perpendicular to the plane in which the triangle is locatedarrow_forwardLet 3i−j+ 4k, 7j−2k, i−3j+k be three vectors with tails at the origin. Then theirheads determine three points A, B, C in space which form a triangle. Find vectors representing the sides AB, BC, CA in that order and direction (for example, A to B, not B to A) and show that the sum of these vectors is zero.arrow_forward
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