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In a meeting of mimes, mime 1 goes through a displacement
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- Find (a) the x- and (b) y-components of R = 2A B if A has components Ax = 15.0 m and Ay = 12.0 m whereas B has components Bx = 24.0 m and By = 8.00 m. (See Section 3.2.)arrow_forwardFigure 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.arrow_forwardFor what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?arrow_forward
- 35. ssm Vector A points along the +y axis and has a magnitude of 100.0 units. Vector B points at an angle of 60.0° above the +x axis and has a magnitude of 200.0 units. Vector Č points along the +x axis and has a magnitude of 150.0 units. Which vec- tor has (a) the largest x component and (b) the largest y component? E 30.0 Ā, 36. Soccer player #1 is 8.6 m from the goal (see the drawing). If she kicks the ball directly into the net, the ball has a displacement labeled A. Net If, on the other hand, she first kicks it 90° to player #2, who then kicks it into the net, the ball undergoes two successive displacements, A, and A,. What are the magnitudes and directions of Ā, and A,? Problem 36 %24arrow_forwardThe 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.arrow_forwardTwo vectors are given by ?→=10?̂ +1.4?̂�→=10�̂+1.4�̂ and ?→=1.7?̂ +2.0?̂�→=1.7�̂+2.0�̂. Find (a)|||?→×?→||||�→×�→|, (b)?→⋅?→�→⋅�→, (c)(?→+?→)⋅?→(�→+�→)⋅�→, and (d) the component of ?→�→ along the direction of ?→�→?arrow_forward
- Displacement d1 is in the yz plane 5 9.9° from the positive direction of the y axis, has a positive z component, and has a magnitude of 3.39 m. Displacement d2 is in the xz plane 20.8° from the positive direction of the x axis, has a positive z component, and has magnitude 1.02 m. What are (a) d1•d2, (b)the x component of d1 x d2 (c)the y component of d1 x d2 (d) the z component of dı x d2, and (e) the angle between d1 and d2?arrow_forwardProblem 2: Consider the two vectors, A = 13.5x + 35.5y B = 6.9x - 15.5y Part (a) What is the magnitude of the vector A - B? A - B = sin() cos() tan() 8 9 НОМЕ cotan() asin() acos() 4 5 6 atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END ODegrees O Radians Vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) What is the angle of the vector A - B, measured counterclockwise in degrees from the positive x-axis? Part (c) What is the magnitude of the vector 3A + B? Part (d) What is the angle of the vector 3A+B, measured counterclockwise in degrees from the positive x-axis?arrow_forwardProblem 2: Given vectors: A = 3 i+j- k, B = - i+ 2j+ 5 k, C = 2 j - 3 k. Find: 1. C. (A + B) 2. Cx (A - B)arrow_forward
- Given the displacement vectors A (2.00 -9.00j+ 5.00 k) m and B= (4.00 1 + 9.00 -4.00 k) m, find the magnitudes of the following vectors and express each in m terms of its rectangular components. (a) C-A+B IC) = 2-( atu tu (b) D-2A-B IDI m 1+ m j+ 3+ marrow_forwardFor the x, y, z axis are defined by the Cartesian unit vectors in corresponding i, j, and k. Consequently, any vector A with scalar components Ax, Ay and Az can be in the Cartesian vector presented as; A UA = A. A. = Ax. Ai +. Ay. Aj +. Az. A k. B) eA= A/|A| = (Ax-i + Ay-j + Az-k)/(Ax+ Ay +Az) Square root of the sum squares of Ax, Ay and Az D) A = AXI + AY j + AZ karrow_forwardWhat is the result when î + 14ĵ is multiplied by √49? a) 7î + 98ĵ b) 98î + 14ĵ c) 7î + 98ĵ d) (î + 7ĵ)*√49arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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