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.
Physics
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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- Perform the following arithmetic operations, keeping the correct number of significant figures in your answer. a. The product 56.2 0.154 b. The sum 9.8 + 43.4 + 124 c. The quotient 81.340/arrow_forwardConsider two vectors, A = 16.5 m at 48.0°, and B = (-12.7 + 2.30j) m. Determine the x and y components of A: Ax Ay m. Determine the x and y components of B: B. Let H- B- 3 A. Determine H and express it in unit vector form. 1+ コ)-H Determine the magnitude and direction of H H= mat 3:arrow_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_forward
- Two vectors are given by a→=4.0î+2.8ĵ and b→=2.1î+7.7ĵ. Find (a) ||a→×b→||, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component of a→ along the direction of b→.arrow_forwardTwo vectors are given by a→=1.5î+5.7ĵ and b→=1.4î+2.2ĵ. Find (a)|a→×b→|, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component of a→ along the direction of b→?arrow_forward2arrow_forward
- The figure shows three vectors. Vector A→ has a length of 31.0, vector B→ has a length of 67.0, and vector C→ has a length of 22.0. Find each magnitude and direction. |A→×B→|= ? direction: ? |C→×B→|= ?arrow_forwardI need help with this problem: Two vectors A⃗ A→ and B⃗ B→ are at right angles to each other. The magnitude of A⃗ A→ is 2.00. What should be the length of B⃗ B→ so that the magnitude of their vector sum is 4.00?arrow_forwardTwo vectors A→ and B→ are at right angles to each other. The magnitude of A→ is 1.00. What should be the length of B→ so that the magnitude of their vector sum is 2.00?arrow_forward
- Consider two vectors, A = 16.1 m at 44.0°, and B (-9.70î + 3.70j) m. Determine the x and y components of A: A, = 11.6 m X. Ay = 11.1 Determine the x and y components of B: = -9.7 m X. 3.7 m !! Let H = B - 3 A. Determine H and express it in unit vector form. H |× i)m Determine the magnitude and direction of H. H= I X m atarrow_forwardVector A⃗ A→ has a magnitude 5.00 and points in a direction 44.9° clockwise from the negative yyy axis. What are the xxx and yyy components of vector A⃗ A→. AxAx = 1.76, AyAy = 1.77 AxAx = -3.53, AyAy = 3.54 AxAx = -1.76, AyAy = -1.77 AxAx = 3.53, AyAy = 3.54 AxAx = -3.53, AyAy = -3.54arrow_forwardGiven two vectors A⃗ =−2.00i^+3.00j^+4.00k^A→=−2.00i^+3.00j^+4.00k^ and B⃗ =3.00i^+1.00j^−3.00k^B→=3.00i^+1.00j^−3.00k^. Obtain a unit vector perpendicular to these two vectors. Express your answer as a unit vector N^N^N_unit in the form NxNxN_x, NyNyN_y, NzNzN_z where the x, y, and z components are separated by commas.arrow_forward
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