PHYSICS FOR SCI.AND ENGR W/WEBASSIGN
10th Edition
ISBN: 9781337888462
Author: SERWAY
Publisher: CENGAGE L
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Chapter 11, Problem 4P
Use the definition of the vector product and the definitions of the unit vectors
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Two vectors A and B are shown in the figure.
The magnitude of their dot product is C, and
the magnitude of their cross product is
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B
A.
You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that these three vectors are Cartesian unit vectors.
To answer this question, use the following vector form:
a1i + a2j + a3k
Write down the sum of the vectors s = p + q + r
And then calculate the scaler product of s x r
Consider the 3D vectors C and D defined as C = 4i + 5j - 12k and D = 12i - 8j + 2k. Which of the following vectors is the result of the cross product, C x D?
Chapter 11 Solutions
PHYSICS FOR SCI.AND ENGR W/WEBASSIGN
Ch. 11.1 - Which of the following statements about the...Ch. 11.2 - Recall the skater described at the beginning of...Ch. 11.3 - A solid sphere and a hollow sphere have the same...Ch. 11.4 - A competitive diver leaves the diving board and...Ch. 11 - Prob. 1PCh. 11 - The displacement vectors 42.0 cm at 15.0 and 23.0...Ch. 11 - If AB=AB, what is the angle between A and B?Ch. 11 - Use the definition of the vector product and the...Ch. 11 - Two forces F1 and F2 act along the two sides of an...Ch. 11 - Prob. 6P
Ch. 11 - A particle is located at a point described by the...Ch. 11 - A 1.50-kg particle moves in the xy plane with a...Ch. 11 - A particle of mass m moves in the xy plane with a...Ch. 11 - Heading straight toward the summit of Pikes Peak,...Ch. 11 - Review. A projectile of mass m is launched with an...Ch. 11 - Review. A conical pendulum consists of a bob of...Ch. 11 - A particle of mass m moves in a circle of radius R...Ch. 11 - A 5.00-kg particle starts from the origin at time...Ch. 11 - A ball having mass m is fastened at the end of a...Ch. 11 - A uniform solid sphere of radius r = 0.500 m and...Ch. 11 - A uniform solid disk of mass m = 3.00 kg and...Ch. 11 - Show that the kinetic energy of an object rotating...Ch. 11 - Big Ben (Fig. P10.27, page 281), the Parliament...Ch. 11 - Model the Earth as a uniform sphere. (a) Calculate...Ch. 11 - The distance between the centers of the wheels of...Ch. 11 - You are working in an observatory, taking data on...Ch. 11 - A 60.0-kg woman stands at the western rim of a...Ch. 11 - Prob. 24PCh. 11 - A uniform cylindrical turntable of radius 1.90 m...Ch. 11 - Prob. 26PCh. 11 - A wooden block of mass M resting on a...Ch. 11 - Why is the following situation impossible? A space...Ch. 11 - A wad of sticky clay with mass m and velocity vi...Ch. 11 - A 0.005 00-kg bullet traveling horizontally with a...Ch. 11 - The angular momentum vector of a precessing...Ch. 11 - A light rope passes over a light, frictionless...Ch. 11 - Review. A thin, uniform, rectangular signboard...Ch. 11 - Prob. 34APCh. 11 - We have all complained that there arent enough...Ch. 11 - Prob. 36APCh. 11 - A rigid, massless rod has three particles with...Ch. 11 - Review. Two boys are sliding toward each other on...Ch. 11 - Two astronauts (Fig. P11.39), each having a mass...Ch. 11 - Two astronauts (Fig. P11.39), each having a mass...Ch. 11 - Native people throughout North and South America...Ch. 11 - Two children are playing on stools at a restaurant...Ch. 11 - You are attending a county fair with your friend...Ch. 11 - A uniform rod of mass 300 g and length 50.0 cm...Ch. 11 - Global warming is a cause for concern because even...Ch. 11 - The puck in Figure P11.46 has a mass of 0.120 kg....Ch. 11 - You operate a restaurant that has many large,...Ch. 11 - A solid cube of wood of side 2a and mass M is...Ch. 11 - In Example 11.8, we investigated an elastic...Ch. 11 - Prob. 50CP
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- Determine the magnitude and direction of the cross product r × F if F = 30.0 N, 36.9° North of East and r =2.00 m, 30° West of North. Assume that z-axis is the axis perpendicular to this paper.arrow_forwardCalculate the magnitude of the cross product of the following two vectors: b = 2j + 5k = (0 ,2,5) å = 1î + 3ĵ = (1,3,0) , b= 2ĵ + 5k = (0 ,2 , 5)arrow_forwardWith the given three vector A, B, C. Determine the magnitude of the dot product of vectors AxC and CxB A= 2i - 3j + 4k B= -3i - 6j + 5k C= 4i + 2jarrow_forward
- The Vector Product Two vectors lying in the xy-plane are given by the equations A = 8î + 2j and B = -3î + 3j. Find Ax B and verify that à ×B = -B x A. SOLUTION Conceptualize Given the unit-vector notations of the vectors, think about the directions the vectors point in space. Draw them on graph paper and imagine the parallelogram for these vectors. Categorize Because we use the definition of the cross product discussed in this section, we categorize this example as-Select-- problem. Write the cross product of the two vectors: AxB = î + 2j ) x î + 3j Perform the multiplication: ĀxB = 8î x (-3î) + 8î × 3j +| j x (-3î) + 2j x Use the equations for the cross product of unit vectors to evaluate the various terms: AXB = To verify that AxB = -B x A, evaluate Bx A: BxA = (-31 + Perform the multiplication: BxA = (-31) x ]î +(-3î) × 2j + 3ĵ × 8î + j x 2j Use the equations for the cross product of unit vectors evaluate the various terms: BxA = Therefore, Ax B = -B xA As an alternative method for…arrow_forwardGiven M = î + 5 j - 6 k and N = 2 î - 2 j - 3 k, calculate the vector product M × N. Î + +arrow_forwardWhat is the cross product AxB? Find the x-component, find the y-component, find the z-component.arrow_forward
- I need help with this problem and an explanation for the solution described below. (University Physics 1: Vectors)arrow_forwardAnswer the question correctly. Show the complete solution in a paper.arrow_forwardCalculate the vector cross product a x b when a = 3i + j - 2k and b = 4i - j* O 2i - 8j + 7k O 4j + 2k O - 2i + 8j - 7k O - 2i - 8j - 7karrow_forward
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