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.

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…

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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…

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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…

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

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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?

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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…

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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.

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

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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

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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…

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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, =…

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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=…

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

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

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

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

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

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

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

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

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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,…