Explanation 1) Concept: We can use the laws of vector algebra to find out above mentioned vectors. 2) Formula: i. a → + b → = c → ii. a → + b → = b → + a → 3) Given: The two vectors a → and b → are given in such way i. a → + b → = c → a n d a + b = c ii. a → + b → = a → - b → iii. a → + b → = c → a n d a 2 + b 2 = c 2 4) Calculations: a) Description for a → + b → = c → a n d a + b = c : When the two vectors a → and b → are parallel, then the sum of the magnitudes of two vectors is equal to the magnitude of the sum of the two vectors. Consider a → = 5 i ^ and b → = 4 i ^ are acting along the same direction as x axis. The magnitudes are a = 5 and b = 4 The sum of the magnitude of two vectors: a + b = c 5 + 4 = 9 c = 9 The magnitude of the sum of two vectors, according to the vector addition law, a → + b → = c → 5 i ^ + 4 i ^ = c → 9 i ^ = c → c = 9 Hence, two vectors are acting in the same direction, then a + b = c is proved

Fundamentals of Physics Extended 10E WileyPlus 5 Student Package

1st Edition

ISBN: 9781118441497

Author: Halliday

Publisher: John Wiley & Sons Inc (US)

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Chapter 3, Problem 6Q

To determine

To describe:

Two vectors a→ and b→ such that

a→+b→=c→ and a+b=c

a→+b→=a→-b→

a→+b→=c→ and a2+b2=c2

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Chapter 3, Problem 5Q

Chapter 3, Problem 7Q

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A capacitor with a capacitance of C = 5.95×10−5 F is charged by connecting it to a 12.5 −V battery. The capacitor is then disconnected from the battery and connected across an inductor with an inductance of L = 1.55 H . At the time 2.35×10−2 s after the connection to the inductor is made, what is the current in the inductor? At that time, how much electrical energy is stored in the inductor?

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Chapter 3 Solutions

Fundamentals of Physics Extended 10E WileyPlus 5 Student Package

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. 4Q Ch. 3 - Which of the arrangements of axes in Fig. 3-23 can...Ch. 3 - Prob. 6Q Ch. 3 - Prob. 7Q Ch. 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. 9P Ch. 3 - Prob. 10P Ch. 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. 18P Ch. 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. 23P Ch. 3 - Prob. 24P Ch. 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. 34P Ch. 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. 37P Ch. 3 - GO For the following three vectors, what is...Ch. 3 - Prob. 39P Ch. 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. 44P Ch. 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. 52P Ch. 3 - Prob. 53P Ch. 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. 57P Ch. 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. 63P Ch. 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. 74P Ch. 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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Two vectors a → and b → such that a → + b → = c → a n d a + b = c a → + b → = a → - b → a → + b → = c → a n d a 2 + b 2 = c 2

Solution Summary: The author explains that if two vectors stackrelto (mathrma) and

Concept explainers

To describe:

Two vectors a→ and b→ such that

a→+b→=c→ and a+b=c

a→+b→=a→-b→

a→+b→=c→ and a2+b2=c2

Want to see the full answer?

Chapter 3 Solutions

Two vectors a → and b → such that a → + b → = c → a n d a + b = c a → + b → = a → - b → a → + b → = c → a n d a 2 + b 2 = c 2

Solution Summary: The author explains that if two vectors stackrelto (mathrma) and

Concept explainers

To describe: Two vectors a→ and b→ such that a→+b→=c→ and a+b=c a→+b→=a→-b→ a→+b→=c→ and a2+b2=c2

Want to see the full answer?

Chapter 3 Solutions

To describe:

Two vectors a→ and b→ such that

a→+b→=c→ and a+b=c

a→+b→=a→-b→

a→+b→=c→ and a2+b2=c2