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University Physics with Modern Physics (14th Edition)
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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 magnitude of B⃗ B → ?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_forwardThe unit vector from A(4, 2) to the point B(-2, 10) is:arrow_forward
- The 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_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_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_forward
- Consider 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_forwardFor the vectors A=2i + 3j, B= 3j- 5k and C= -4i + k. Find: A) V= A-B+C B) V C) varrow_forwardIf Force B on the x-z plane is equal to 300N and h = 4m and v = 10m, then what is the i and k components of Force B?arrow_forward
- Assume = 36 and H = 4. Determine the x-component of H.arrow_forwardThe vectors ā, b and čare not planar. The a', & and d are the associated reciprocal vectors given by a - (5 x a) こxd %3D ā (5 x c) ā - (6 x c) Show that the reciprocal vectors satisfy the following proporties: (b) 6.a = 7-d = ...= 0,arrow_forward(the complete question is in the picture) The vector in the figure has a magnitudeof 40.0 [m] and makes an angle of 15.0◦ with respect tothe y-axis. What is the component form of vector−→k ?A. 10.4 [m] ˆı − 38.6 [m] ˆB. 10.4 [m] ˆı + 38.6 [m] ˆC. −10.4 [m] ˆı − 38.6 [m] ˆD. −10.4 [m] ˆı + 38.6 [m] ˆarrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
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