Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 3, Problem 23P
(a)
To determine
The values of
(b)
To determine
To explain: The way in which both
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The figure shows three vectors. Vector A→ has a length of 32.0, vector B→ has a length of 64.0, and vector C→ has a length of 22.0.
Find each magnitude and direction.
Three vectors are given by a→=4.00î +
(3.00)ĵ +(4.00)ka→,
b→=0î +(-3.00)ĵ +(-4.00)k
and c→=-3.00î +(1.00)ĵ +(4.00)k
Find (a) a → (b→x c→) (b) a→·(b→+c→) (c) x-
component, (d) y-component, and (e) z-
component of a→x(b→+c→) respectively.
(a) Taking A = (6.00 î – 8.00 j) units,
B = (-8,00 Î + 3.00 j) units, and
C = (26.0 î + 19.0 ĵ) units, determine a
and b such that a à + b B + T = 0.
(b) A student has learned that a single equation cannot be
Figure P22
solved to determine values for more than one unknown in
it. How would you explain to him that both a and b can be
determined from the single equation used in part (a)?
Chapter 3 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 3.2 - Which of the following are vector quantities and...Ch. 3.3 - Prob. 3.2QQCh. 3.3 - If vector B is added to vector A, which two of the...Ch. 3.4 - Choose the correct response to make the sentence...Ch. 3.4 - Prob. 3.5QQCh. 3 - Two points in the xy plane have Cartesian...Ch. 3 - Prob. 2PCh. 3 - The polar coordinates of a certain point are (r =...Ch. 3 - Prob. 4PCh. 3 - Why is the following situation impossible? A...
Ch. 3 - Prob. 6PCh. 3 - A force F1 of magnitude 6.00 units acts on an...Ch. 3 - Three displacements are A=200m due south, B=250m...Ch. 3 - The displacement vectors A and B shown in Figure...Ch. 3 - A roller-coaster car moves 200 ft horizontally and...Ch. 3 - Prob. 11PCh. 3 - A person walks 25.0 north of east for 3.10 km. How...Ch. 3 - Your dog is running around the grass in your back...Ch. 3 - Given the vectors A=2.00i+6.00j and B=3.00i2.00j,...Ch. 3 - The helicopter view in Fig. P3.15 shows two people...Ch. 3 - A snow-covered ski slope makes an angle of 35.0...Ch. 3 - Prob. 17PCh. 3 - Vector A has x and y components of 8.70 cm and...Ch. 3 - The vector A has x, y, and z components of 8.00,...Ch. 3 - Given the displacement vectors A=(3i4j+4k)m and...Ch. 3 - Vector A has a negative x component 3.00 units in...Ch. 3 - Three displacement vectors of a croquet ball are...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Use the component method to add the vectors A and...Ch. 3 - Prob. 26PCh. 3 - A man pushing a mop across a floor causes it to...Ch. 3 - Figure P3.28 illustrates typical proportions of...Ch. 3 - Prob. 29PCh. 3 - In an assembly operation illustrated in Figure...Ch. 3 - Review. You are standing on the ground at the...Ch. 3 - Why is the following situation impossible? A...Ch. 3 - Prob. 33PCh. 3 - Prob. 34APCh. 3 - A person going for a walk follows the path shown...Ch. 3 - A ferry transports tourists between three islands....Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Review. The biggest stuffed animal in the world is...Ch. 3 - Prob. 40APCh. 3 - Prob. 41APCh. 3 - Prob. 42APCh. 3 - Prob. 43APCh. 3 - Vectors A and B have equal magnitudes of 5.00. The...Ch. 3 - A rectangular parallelepiped has dimensions a, b,...Ch. 3 - A pirate has buried his treasure on an island with...
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- What is the magnitude of Å + B + Č, where A = 1.00 i + 4.00 j - 1.00 k, B = 3.00 i - 1.00 j - 4,00 k and Č = -1.00 i + 1.00 j? A) 2.00 B) 6.78 C) 7.07 D) 8.12 E) 10.76arrow_forward56. If (6.00 i – 8.00 j)m, B = (-8.00 i +3.00 j )m, and A = (26.0 i + 19.0 j )m , find the unknown constants a D +b B + A = 0. and b such that aarrow_forwardTwo vectors are given by a→=2.8î+7.4ĵ and b→=5.9î+3.7ĵ. Find (a) ||a→×b→||, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component of a→ along the direction of b→. I just need (d) solved.arrow_forward
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