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- Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following: What is the angle θAB θ A B between A⃗ A → and B⃗ B → ?arrow_forwardb) Consider two vectors ä = î - 2] + 3k, and b = 3î - 2zj + 5k, where z is a scalar. vector & such that 3ä 4b-2c = 0.arrow_forwardLet vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following: What is the magnitude of B⃗ B → ?arrow_forward
- Two vectors A→ and B→ are at right angles to each other. The magnitude of A→ is 1. What should be the length of B→ so that the magnitude of their vector sum is 2?arrow_forwardGiven the three vectors P = 3x + 2ŷ − 2, Q = −6x − 4ỹ + 22, R = â – 2ŷ – 2 find two that are perpendicular and two that are parallel or antiparallel.arrow_forwardHand writingarrow_forward
- Three vectors →A , →B, and →C have the following x and y components: x-component y-component →A -9.00 6.00 →B 8.00 -6.50 →C 0.00 5.50 What is the magnitude of R→=A→−B→−C→ ?arrow_forwardThe unit vector from A(4, 2) to the point B(-2, 10) is:arrow_forwardThe vectors ā, b and č'are not planar. The a', V and d are the associated reciprocal vectors given by a = ā (6 x c) ā (6 x c) d = d (5 x 2) Show that the reciprocal vectors satisfy the following proporties: (a) ā -d = 6-0 = č-d = 1, %3D %3Darrow_forward
- Two 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_forwardGiven P = 32 u, 90° N of E and R = 12 u, 45° N of E, find P - R in unit-vector form. Use the component method.arrow_forwardConsider the two vectors A-51-3j and B=-i-6j. (a) Calculate A + B i+ (b) Calculate A-B i+ (c) Calculate A + B (d) Calculate (e) Calculate the directions of A + B and A-B. A+B A-B (counterclockwise from the +x axis) (counterclockwise from thearrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning