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A: 1) A→ = 3i^ + 5j^B→ = 10i^ + 6j^
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Q: Given two vectors A and B. Find the angle between them if A = { 2 , 3, 4} and B = { -2 ,2 -4, }
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Q: What is the vector product of A = 2.00 i^ + 3.00 j^ + 1.00 k^ and B = 1.00 i^ - 3.00 j^ -2.00 k^?
A: The given vectors, A→=2.00 i^+3.00 j^+1.00 k^B→=1.00 i^-3.00 j^-2.00 k^
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Q: Given A = ax - 3ay -6az, the projection of A along ay is а. -3 b. -6 С. 3 d. 1
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Q: 70.0° You are given two Á = -3.00î + 6.00ĵ 2 vec- and 30.0° tors = 7.00î + 2.00ĵ. terclockwise…
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Q: The point specified by the Cartesian coordinates (3, 5) is which of the follow when converted to…
A: cartesian coordinate of a given point = (3,5)
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Q: Two points in the xy plane have Cartesian coordinates (3.50, –5.00) m and (-6.50, 6.50) m. (a)…
A: Given: The coordinates of the points are 3.50, -5.00 and-6.50, 6.50
Q: Show that the vectors A = 2i-j+k, C=3i+4j + 4k form the sides of a right triangle. Bi-3j-5k
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Q: Two vectors A and B have precisely equal magnitudes. For the magnitude of A + B to be larger than…
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Q: it was claimed that the maximum range of a ski jumper occurs for a launch angle θ given by: θ = 45°…
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- Consider a uniform solid hemisphere of radius r and mass m which is kept in contact with a smooth wall as shown in the figure. Find the normal reaction exerted on the sphere by the wallUse the additivity of moments to find the COM of an ice cream cone consisting of a semicircle of density ρρ on top of an equilateral triangle of side 6 and density 5ρ5ρ.Let f(x)= 4xex - sin(5x). Find the third derivative of this function. Note ex is denoted as e^x below. Select one: (12+4x^3)e^x + 125sin(5x) 12e^x + 125cos(5x) not in the list (12+4x)e^x + 125cos(5x) (8+4x)e^x + 25sin(5x)
- write the solution step by step and clearly.Let a = 2i + 5k and b = i + 4j + k. Find the angle between a and b.Express your answer in degrees, rounded to the nearest degree.A particle P of mass 2m can slide along a smooth rigid straight wire. The wire has one ofits points fixed at the origin ’O’, and is made to rotate in a plane through ’O’ with constantangular speed Ω. Show that r , the distance of P from O, satisfies the equation r ̈ − (Ω^2)*r = 0 Initially, P is at rest (relative to the wire) at a distance a from O. Find r as a function of t in the subsequent motion.
- Prove the Jacobi identity: A × (B × C) + B × (C × A) + C × (A × B) = 0. Hint:Expand each triple product as in equations (3.8) and (3.9).Consider the Lennard-Jones potential between atoms in a solid material. Find the dependence of the equilibrium postion x0, on the parameters in the potential. Then for small perturbations, δx around x0, determine the restoring force as a function of δx.Obtain the required relation please