Express the force F as a vector in terms of the unit vectors i, j, and k. Determine the angles 0x, 0y, and 0, which F makes with the positive x-, y, and z-axes. 2, mm | В (-25, 50, 40) F = 750 N Y, mm А (15, -20, -25) x, mm

Q: The force F has a magnitude of 520 lb and acts along the line AM where M is the midpoint of the…

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Q: 12. What is the unit vector for P= 2i - 3j + 5z7| (a) 0.227i - 0.472j + 0.714z (b) 0.100i – 0.150j +…

A: 11) torque = moment of force = τ= r x F = dLdt= d(IW)dt from right hand rule if moment is positive…

Q: 47.The component of the force (3i – j+2k)N in the direction the vector(-4j+3k) is A 10 в 9 с 9/5 D 2…

A: Force (F) = (3i-j+2k) N Vector direction (r) = (-4j+3k)

Q: 7) Given three vectors, A = 2.00 1 – 5.00 j, B = 4.00 ĵ, and C = 3.00 î, evaluate the following…

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Q: In the diagram, q, = -4.60 x 10-6 C, q2 = +3.75 x 10-6 C, and q3 = +8.30 x 10-5 C. %3D Find the…

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Q: If A=21 +3j and B=4i +2j, the angle between the vectors A and B is

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Q: 9. The components of vectors U and V are given as follow: U. = -8.6 U, = 9.4 What is the magnitude…

A: Given: Ux = -8.6  Uy = 9.4 Vx = 10.7 Vy = 4.1

Q: Given two vectors: = -3î + 6j – 5k and Ñ = -2î + 3j + k The magnitude of 2Ñ – Mis (A) 39.2 (B) 7.07…

A: Given Information:- Two vectors are  M→=-3i^+6j^-5k^      and N→=-2i^+3j^+k^   Required:- We need to…

Q: The following force vectors act on an object: i) 25 Newtons at 45° north of east and ii) 50 Newtons…

A: Given: Force F1 =  25 N at θ = 45° North of east Force F2 = 50 N at ϕ = 30° south of east To find:…

Q: At what angle does the force F, where Fx = 6.23N and Fy = – 2.38N, makes with the positive x-axis?…

A: Given, Fx = 6.23N  Fy = – 2.38N

Q: on a frictionless surface. They collide As shown in the figure below, two objects are moving towar…

A: Given -  Velocity  of object 1 =v1→Velocity  of object 2 =v2→ = 9.4msMass  of object 1 (m1) = 1.4…

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: Question 8 Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j + k The magnitude of vector N is: A…

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Q: 1. Calculate the x-component of force 100 Ib. Assume positive to the right. O 40V5 Ib O 50 Ib None…

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Q: Given the following vectors: Then, (A-2B)xC is: A. 9.8 B. 2.45 C. 44.4 D. 22.6 E. 3.7

A: Concept:- the magnitude of any vector A→ = xi^ + yj^ + zk^is given byA→ = x2+y2+z2

Q: Determine the angles made by the vector V = -60i + 44j with the positive x- and y-axes. Write the…

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Q: Find the A)magnitude of vectors A and B, B)the unit vectors expression for A-B, and the magnitude…

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Q: -Ja, IFA - 2a, + 6a,- 3a, and B- - 3a, - of A- B (b) the magnitude of A + B; (c) |[(A + 3B)/IA +…

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Q: Find the vector force F on Q1 = 0.35 mC at (0, 4, 0)m due to Q2 = - 0.55 mC at (3, 0, 0)m.

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Q: A girl walks 3 m due east and then 4 m due north 1. The girl's displacement from the starting point…

A: Girl walk 3m east then 4m north  Net displacement from starting point=?

Q: 2/2 The magnitude of the force F is 400 lb. Express F as a vector in terms of the unit vectors i and…

A: |F| = 400 lb θ = 30o above -x axis

Q: In the diagram, q1 = +8.60 x 10-6 C, %3D 92 = +5.10 x 10-6 C, and q3 = -3.30 x 10-6 C. Find the…

A: Given value--- q1 = 8.6 × 10-6 C. q2 = 5.1 × 10-6 C. q3 = - 3.30 × 10-6 C. We have to find--- net…

Q: The force F has a magnitude of 460 Ib and acts along the line AM where M is the midpoint of the…

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Q: Given two vectors: M = -3i + 6j – 5k and N= -2i + 3j + k The magnitude of 2N - Mis A 7.07 B 39.2 C…

A: Given: M→=-3i^+6j^-5k^N→=-2i^+3j^+k^

Q: Express the 8.9-kN force F as a vector in terms of the unit vectors i, j, and k. Determine the…

A: Solution: Given That F = 8.9 kN by taking vectors , we can find Fz = 8.9 sin31° Fz = 4.58 kN F' =…

Q: Find components of vector: 1.) E = 4.50m, 37° E of S D = 3m, 46° S of E = = 4m, 20° E of N K. 4. =…

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Q: The forces F, = (2i + bj) N, F2 = (-i+2j) N and F3 = (ai – 4j) N act through the points wit position…

A: Part a: Since, the system of forces is equivalent to just a couple, the net force must be zero.

Q: Show that when A⃗ +B⃗ =C⃗ A→+B→=C→, then C2=A2+B2+2ABcosφC2=A2+B2+2ABcosφ, where φφ is the angle…

A: Given:-  A→+B→= C→ Find:-  Show that C2 = A2+B2+2ABcosφ here φ is the angle between vectors A→ and…

Q: Need some assistance figuring this one out! Force F pulls upward on link A with magnitude 622N…

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Q: Determine the magnitude of the projection of the vector force F = 100N, onto u axis, from the figure…

A: The projection of force vector F on u-axis is,  Fu = F Cos θ -------(1)

Q: Fill the table below. Write down your answer on your notebook and check your work afterwards. N B.…

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Q: SolveA•B whenA=3i+6j–k,B=8i– 3j-k. I Solve the angle 0 between vectors A and B when A = 2i – 3j +…

A: A•B = |A||B|cos (teta)

Q: 5. Let B - (4 m)? + (2 my +(1 m)k. The vector A = (2 m) + (6 m) - (3 m)k and D=A-B is: difference A)…

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Q: Two vectors lying in the xz plane are given by the equations A AxBis a. -7j 2i +3k and B-2k The…

A: The expression for the resultant of the cross product,

Q: The force F has a magnitude of 500 lb and acts along the line AM where M is the midpoint of the…

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Q: 9. The components of vectors U* and V** are given as follow: U. = -8.6 U, = 9.4 What is the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. (1) A particle of mass 5 kg moves so that its position vector after / seconds is r = [(cos2t)i +…

A: The fundamental equations of kinematics ar:

Q: Given the vectors Ā = (2î – i) N and B = (3î + j)m- Then, 3A B equals

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Q: An electron travels with v =5.90×10^6i^m/s through a point in space where E…

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Q: Considering two force vectors F1 =F1i+F1j+F1k and F2 = F2i+ F»j+F2k with their unit vectors ui = F1…

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Q: Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j + k The magnitude of vector N is: A) 3.74 B)…

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Q: 2. Calculate the x-component of force 100 Ib. Assume positive to the right. O 40V5 Ib O 50 Ib O None…

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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 are given by a→=4.0î+2.8ĵ and b→=2.1î+7.7ĵ. Find (a) ||a→×b→||, (b)a→⋅b→,…

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Q: results from (a) d→1⋅(d→2+d→3), (b) d→1⋅(d→2×d→3), and d→1×(d→2+d→3

A: As per rules... First three parts are posted.

Q: q1 = -4.60 x 10-6 C, q2 = +3.75 x 10-5 C, and 93 = -5.30 x 10-6 C. Find the y-component of the %3D…

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Q: Determine the orthogonal component of C = r x F in the direction of unit vector Awhere r =0.2i +…

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Q: Determine the angles made by the vector V = (-63)i + (-31)j with the positive x- and y-axes. Write…

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Q: Three force vectors act on a free body at the origin as shown. F1= 4 N F2=2.0 i + 3.1 J N F3= 6.3 N…

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