If d is the distance between two coordinates and dy, dy, and dz are the distance components, then the force F is given by F F=(d,i+ d,j+ d,k) O F= F(d,i+d,j+ d̟k) O F= d(d,i+ dj+ d,k)

Q: A two pound weight is hanging in a system that has acheived equilibrium (not moving. Find 7₁ and 7₂.…

A: W= 2 lbs

Q: Three vectors are given by a⇒→=4.00î + (3.00)ĵ +(4.00)ka→, b→=0î +(-3.00)ĵ +(-4.00)k and c→=-3.00î…

A: According to question we need to solve vector problem.

Q: For the vectors á (3.0 m )î + (4.0 m )j and B = (5.0 m )i + ( – 2.0 m 3, give d + b in (a) unit-…

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Q: What angle OB, where 0° < OB < 360°, does B make with the +x-axis? Express your answer in degrees.

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Q: Eij and k are the usual unit vectors in the x, y and z directions, find aixi c.

A: As we know that i, j and k are unit vectors along the x, y and z directions. These unit vectors are…

Q: Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i +…

A: Given,A = 2.0i - 4.0j + 1kB = 3.0i + 4.0j + 10.0k C = -3.0i - 4.0jD = -3.0i + 4.0jE = -2.0i + 3.0j +…

Q: b) Consider two vectors ä = î-2) + 3k, and b = 3î - 2zj + 5k, where z is a scalar. vector & such…

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Q: You have the following vectors: A=-7.9i+9.73 B-7.11+-1.23 Calculate the magnitude of A - 2B. Your…

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Q: Given M = 5 î + 2 ĵ – 5k and N = 3 î - 4 j - 3 k, calculate the vector product M x N. %3D +

A: The given vectors are: M→=5i^+2j^-5k^N→=3i^-4j^-3k^

Q: For the vectors A = 2? •38, B= 39- 5 2, and find: %3D - (a) V = A B+C (b) V (C) V

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Q: a Ꮎ b r What is the angle, e in degrees given: Arc length ab = 20.3 r=6

A: FINAL ANSWER: The central angle is:θ=193.8507207∘ Explanation:GUIDE: (1) Arc Length Formula (a) When…

Q: Two electric force vectors act on a particle. Their x- components are 16.0 N and -7.60 N and their…

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Q: The magnitude of the force F is 780 Ib. Express F as a vector in terms of the unit vectors i and j.…

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Q: Two vectors are given by a  =  1.5î−4.0ĵ and b  =  −11.9î + 8.1ĵ. What is the magnitude of b? i…

A: Given data: Vector b = -11.9i + 8.1j Required: The magnitude of the vector b and angle between…

Q: The force P of magnitude 50 KN is acting at 215° from the x-axis. Find the components of P in u 157°…

A: Given: Force, P=50 kN Angle, 215 from x-axis Components of P, Pu at 157° from x Pv at -69° from x To…

Q: Two vectors are given by A = 3 î + 6 ĵ and B = -1 î + ĵ. (a) Find A × B. k (b) Find the angle…

A: So the final answer is A∗B=9k^And angle between them θ=71.56oExplanation:

Q: Use the definition of scalar product, a = ab cos 0, and the fact that a . the two vectors given by a…

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Q: Two charged balls are repelling each other as they hang from the ceiling. What can you say about…

A: Two charge balls are hanging from the ceiling As seen from the figure, the two charged balls are…

Q: show that the vectors A= 1/2 q1+ 1/2 q2+1/2 q3+ 1/2 q4 and B= 1/2 q1 - 1/2 q2 + 1/2 q3 - 1/2 q4 .…

A: Dot product is defined as: A⇀.B ⇀ = ABcos(θAB) The dot product of orthogonal vectors is 0, since the…