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A particle moves through an xyz coordinate system while a force acts on the particle. When the particle has the position vector
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FUNDAMENTALS OF PHYSICS - EXTENDED
- Given two vectors: M = -3î + 6j – 5k and N = -2î + 3ĵ +.k The magnitude of vector Ñ is: is: А) 3.74 B) 8.37 C 70 D 14 E) No Answerarrow_forwardFor the following three vectors, what is 3 . Ć · (2 A × B )? A = 2.00î + 4.0oĵ – 3.00k B = - 3.00î + 3.00) + 4.00k Č = 6.00î – 8.00ĵ Number i Unitsarrow_forwardConsider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i + 4.0j, E = -2.0i + 3.0j + 2.0k, F = -9.0j. What is A × B? Give your answer in the form of "ai + bj + ck". What is B × A? Give your answer in the form of "ai + bj + ck". What is C × D? Give your answer in the form of "ai + bj + ck". What is F × E? Give your answer in the form of "ai + bj + ck".arrow_forward
- The figure shows two vectors, the magnitude of A = 4 units and the magnitude of B = 8 units. Determine the magnitude of JÄ + B| 12.4 C> 8.2 10.6 30 o В 4.6arrow_forwardDetermine a unit vector parallel to the resultant vector of 2i + 9j – 9k lb, – 2i – 6j + 8k lb, and - 2i + 6j + 4k lb. i + V X k) lb R = ( -0.206 0.92 j+ | 0.3arrow_forwardThe force F has a magnitude of 490 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components of F. Assume F = 490 N, 0 = 37% y 1 j) N Answers: F = (i Fx= i Fy || i 0 F -X i+ i N Z Z Narrow_forward
- A particle moves in the horizontal xy plane. A variable force acts on the particle with expression (in newtons) given by F =(4.10y+3.10)ȷ^, where y is in meters. Assume that even the particle's trajectory is a straight line from the position (in meters) r0=2.80ı^ +2.30ȷ^ to the position (in meters) rf=2.80ı^ +6.30ȷ^. Calculate the work done by this trajectory force and its de in joules, with three digits answers. ** only numbers in the answer **arrow_forwardFor the vectors A=8.94i +6.93j-17.9k, B=7.67i-6.06j+10.2k, and C=6.25i-3.34j-9.61k, find C(A-B).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
- The magnitude of the force F is 780 Ib. Express F as a vector in terms of the unit vectors i and j. Identify both the scalar and vector components of F. Y, ft F = 780 Ib | --x, ft 36° A (7,-3) Answers: Vector expression: F = 5) Ib + Scalar components: Fx = Ib, Fy Ib Vector components: Fx = i lb, Fy = j lbarrow_forwardVectors A, B and C are defined as follows: A = 3.1i + 2.7j – 4.3k; B = 2.5i – 3.7j + 7.7k; C = 3.9i + 6.6k. Determine A·(B×C)arrow_forwardsearch F3 3 E D The scalar product of vector = 3.00 î+2.00 ƒ and vector is 10.0. Which of the following vectors A B could be vector ? B 12.0 î 2.00 î+ 4.00ĵ 5.00 î+ 4.00 Ĵ 2.00 î+ 2.00 ĵ 4:00 î+ 6.00 Ĵ 81°F S F4 C Next incorrect question put o F5 F6 $ R F % 5 V T G F7 B Y H 10 F8 & 7 U DELL F9 8 J N M F10 9 K F11 ) L F12 PrtScr R [ Insert Delete Backspace ]arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning