Answered: Vectors A and B each have magnitude S.…

Vectors A and B each have magnitude S. When drawn with their tails at the same origin, the angle between them is 30⁰. The product A · B is _________. a. zero b. s^2 c. 0.87S d. None of these.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Energy Of A System

Section: Chapter Questions

Problem 7.13P: Lei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater...

See similar textbooks

Related questions

Q: A vector ? = (−1.2 m)i+ (1.8 m)j. Find the magnitude and angle (between 0° and 360°, measured…

A: Answer is uploaded in 2nd step.

Q: 1- Find a. v.u, v|,|u| b. the angle between v and u c. the scalar component of u in the direction of…

A: 1. The given vectors are, v→=35i^+45k^u→=5i^+12j^ (a) The dot product of two vectors is calculated…

Q: 17. Drawing a shows two vectors A and B, and drawing b shows their components. The scalar components…

Q: 6. The magnitude of vector A is 8.6. It lies in the fourth quadrant and forms an angle of 37° with…

A: If a vector A→ makes an angle θ with +X-axis (anti-clockwise) then the X-component of A→ is…

Q: 1.47 • The vector product of vectors A and B has magnitude 16.0 m² and is in the +z-direction. If…

A: We need to know that the vector product of two unit vectors gives us a resultant unit vector that is…

Q: 1.39 - (a) Write each vector in Figure E1.39 Fig. El.39 in terms of the unit vectors î and ĵ. (b)…

A: Given: The magnitude of vector A is 3.6 m and the direction is 70o with a positive x-axis. The…

Q: 1.81 • Vector Ả has magnitude 12.0 m, and vector B has mag- nitude 12.0 m. The scalar product Ả • B…

Q: 11. A person drives a car for a distance of 450.0 m. The displacement Ā of the car is illustrated in…

A: The displacement of the car

Q: Write each vector in components as ai + bj + ck or (a, b, c). Then find its length. P¡ P2 if P, is…

A: Write the given vectors in components as follows.…

Q: Given A = and B = If VectorC=B−A/2 , determine the magnitude of vector C. (Round your answers to…

Q: Sketch and determine the magnitude and the direction cosines of the vector given a position. d Rx Ry…

Q: Vector A has components Ax = 1.46 and A, = -16.6. What is the magnitude of this vector? JÄ = Find…

A: Components of vector A, Ax = 1.46 and Ay = - 16.6 Magnitude of A and Angle between vector A and +x…

Q: Let θ be the angle that the vector ? makes with the +x-axis, measured counterclockwise from that…

A: Let θ be defined as the angle made by a vector with the x-axis. Therefore, tanθ=AyAxθ=tan-1AyAx

Q: Vector A is 6.31 m at an angle of 265.6 degrees. what is the y-componenent of vector A?

Q: A vector has equal, positive x and y components and zero z componet. What is the angle between this…

A: The expression for the required angle is.

Q: Determine the component Rx, Ry, and Rz of the vector with a magnitude of 600 units. Also, draw the…

Q: 1.2 Vector A has magnitude of 11 m/s² and makes an angle of 65 degrees with the positive x-axis, and…

A: (a) The components of the vector A is, Ax=Acos65o=11 m/s2cos65o=4.65 m/s2Ax=Asin65o=11…

Q: Two vectors Au and Bu are at right angles to each other. The magnitude of Au is 1. What should be…

A: Given, A=1 Resultant R=2 Angle A=90o

Q: Given two vectors with equal magnitudes of 59 and their sum vector 93j. Find the angle between them.

Q: Section 1.9 Unit Vectors 1.34 In each case, find the x- and y-components of vector A: (a) A = 5.01…

Q: 1.41 For the vectors A, B, and C in Fig. E1.22, find the scalar pr ucts (a) A B; (b) B-C; (c) A. C.…

A: According to question we need to find A • B ? B • C ? A • C ?

Q: Find the angle in degree between the two vectors A=1.1i-1.9j and B=-2.9i+2.4j.

A: We have two vectors that are represented as A→=1.1i^-1.9j^ and B→=-2.9i^+2.4j^. We need to the find…

Q: The components of a vector are Ax = 2.9 and Ay = 5.3, and the components of a vector are given are…

A: Given data: Vector A=Ax+Ay ⇒ A=2.9 x + 5.3 y (1) Vector B=Bx+By ⇒ B=7.7 x -10 y…

Q: Vectors A ⃗ and B ⃗ have identical magnitudes of 5.0 units. Find the angle between them if A ⃗ + B ⃗…

A: Given data: The magnitude of vector A is: 5 unit The magnitude of vector B is: 5 unit The resultant…

Q: 1. Using the following vectors, find the magnitude and direction of the resultant vector. A =…

A: Given value--- three vector. We have to find--- magnitude and direction of the resultant vector?

Q: add the following vectors and determine the resultant. 6 m/s, 225 degrees and 2 m/s, 90 degrees

Q: 1.47 •• The vector product of vectors Á and B has magnitude 16.0 m² and is in the +z-direction. If…

A: Given value--- A × B = 16 m2 , + z direction. A = 8 m , -x direction. B = has no x component.…

Q: The vector -5.2 A→ has a magnitude of 37 mm and points in the positive x direction. Find the x…

Q: 7. What are (a) the x component and (b) the y component of a vector in the xy plane if its direction…

A: Given: magnitude of vector: 7.3 m direction: 250o CCW from +ve x-axis

Q: Vector A is given by A = 3.00ź + 5.00j. Vector B is given by B=B,i+B,j, where B. = 5.81 and B, =…

Q: Which one is true for the triple product ? The result is a vector that might be parallel to A) The…

A: The direction of the cross product of two vectors A→ and B→, A→×B→, is perpendicular to the plane…

Q: 2 • Find the angle between each of the following pairs of vectors: (a) A = -2.00î + 6.00ĵ and B =…

A: Given data The vector equation for vector A is given as A→=-2i^+6j^. The vector equation for vector…

Q: 6. If vector A = i+ 2j+ 3k, and vector B = i+2k. The product A.Bequals A) C) B) D) 8. i+ 2j i- 2j

A: In the given question given that two vectors A and B. Then We have to determine the value of dot…

Q: 1. :.. get the sum of unit vector of R=A+B R = Ã+ B R = Ã - B %3D and the difference of R=A- B A=…

Q: Vector O is the resultant of vector M = -9.1i + 7.8j + -7.2k and an unknown vector N. Vector O is a…

Q: what would be the polar coordinates of this vector? 0.265i + 0.223j

Q: 1. Find the x-component of this vector: C = 300 N, 50 deg W of S 2. Write this vector in scalar…

Q: The vectors A B C D , , and are shown in the figure. a) Write the vectors in components (in terms of…

Q: A figure skater glides along a circular path of radius 5.00 m. If she coasts around one half of the…

Q: 9- (a) Write each vector in the following figure in terms of the unit vectors î and ĵ. (b) Use unit…

Q: Two vectors A→ and B→ are at right angles to each other. The magnitude of A→ is 1. What should be…

Q: Two vectors d and b have magnitudes 4 and 2 respectively. Also the angle between a and bis Find a .…

Q: Given 3 vectors: Vector 1 is 500N at 300, Vector 2 is 300N at 1500 and Vector 3 is 400N at 2700,…

A: Given: Magnitude of Vector 1 = 500 N , Angle of Vector 1 = 30o Magnitude of Vector 2 = 200 N , Angle…

Q: QUESTION 2 Two vectors have the following magnitude, A = 13.6 m and B = 6.3 m. Their vector product…

A: Given data: Magnitude of vectors: A=13.6 m and B=6.3 m Vector product: A→×B→=-4.7m i^+12.7m k^

Q: -15N What is the rectangular component of vector F2 ? The magnitude of the vector is F2 = 1.5N. What…

A: Option (C) is correct.

Q: You found a treasure map! It said, start at the well, go 100 m straight south, then 30 m, 40 degrees…

A: Given, It said, start at the well, go 100 m straight south, then 30 m, 40 degrees North of West,…

Question

Vectors A and B each have magnitude S. When drawn with their tails at the same origin, the angle between them is 30⁰. The product A · B is _________.

a. zero

b. s^2

c. 0.87S

d. None of these.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?
Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44
For the triangle shown in Figure P1.45, what are (a) the length of the unknown side, (b) the tangent of , and (c) the sine of ? Figure P1.45
Lei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.
A 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.
Vector lies in the xy plane. Both of its components will be negative if it points from the origin into which quadrant? (a) the first quadrant (b) the second quadrant (c) the third quadrant (d) the fourth quadrant (e) the second or fourth quadrants
In Figure P1.49, find (a) the side opposite , (b) the side adjacent to . (c) cos , (d) sin , and (c) tan . Figure P1.49
Figure P1.6 shows a frustum of a cone. Match each of the three expressions (a) (r1 + r2)[h2 + (r2 r1)2]1/2, (b) 2(r1 + r2), and (c) h(r12 + r1r2 + r22)/3 with the quantity it describes: (d) the total circumference of the flat circular faces, (e) the volume, or (f) the area of the curved surface. Figure P1.6
Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
A vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction of the vector.
Find the scalar components of three-dimensional vectors G and H in the following figure and write the vectors in vector component form in terms of the unit vectors of the axes.