Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 3, Problem 71P
A vector
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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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- A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)arrow_forwardA vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.arrow_forwardA delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.arrow_forward
- If two vectors have the same magnitude, do their components have to be the same?arrow_forwardIf two vectors are equal, what can you say about their components? What can you say about their magnitudes? What can you say about their directions?arrow_forwardA vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction of the vector.arrow_forward
- The magnitudes of two vectors A and B are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.arrow_forwardIf A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.arrow_forwardVector A has a magnitude of 3.60 m and a direction of 60.0° measured counterclockwise from the +y axis in the xy plane. Vector B has a magnitude of 2.40 m and a direction of 30.0° measured clockwise from the -x axis in the xy plane. →>> What is vector Cin component form? 7=2 = 2.00A-3.00B.arrow_forward
- B U Bx = 12.2 cm. Consider vector B pictured below and the given length for Bx = 12.2cm and 0 = 24.0 What is the length (the hypotenuse) of vector B ? 2 51arrow_forwardVector C⃗ has a magnitude of 24.6 m and points in the −?‑ direction. Vectors A⃗ and B⃗ both have positive ?‑ components, and make angles of α=41.4° and β=28.2° with the positive and negative ?- axis, respectively. If the vector sum A⃗ +B⃗ +C⃗ =0 , what are the magnitudes of A⃗ and B⃗ ?arrow_forwardWhat is the sum of the following four vectors in unit vector notation and as a magnitude and angle? A= (3.00 m) i+(5.00 m) j B:3.00 m, at +178.0° C= (4.00 m) i+(−2.00 m) j D:4.00 m, at −28.0°arrow_forward
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