When using the scalar triple product to calculate the moment that force F creates about an axis extending from C to D, which one of the following position vectors r could be placed directly in the equation u. (rx F)?

Q: Q2: Given points A(p 4, q 60', z -1) and B(p 2, o 30', z= 1), find a unit vector in cartesian…

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Q: The unit vector from A(4, 2) to the point B(-2, 10) is:

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Q: Determine the moment about point C produced by the force shown, if F = 50 lb. Express the moment as…

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Q: Determine the magnitude and direction of the cross product r × F if F = 30.0 N, 36.9° North of East…

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Q: How do I do part B?

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Q: Determine the moment of the force F = {60i−40j+30k} lb about the AB axis. Express the result as a…

A: The moment of force is its tendency of a force to rotate a body it around an axis. t=f×r where t is…

Q: You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that…

A: Given thatp→=j-3 kq→=-2 i-j-3 kr→=4 i+j+3 kas s→=p→+q→+r→   =j-3 k+-2 i-j-3 k+4 i+j+3 k…

Q: Consider the two vectors G = (4.55 N)i + (4.99 N)j + (8.16 N)k and H = (2.08 N)i + (5.89 N)j. 1.…

A: The objective of the question is to find the component of vector G along vector H. This can be done…

Q: Given a vector (77, 48, 22) and another vector (4, 49, 67) what is the z-component of their sum?

A: Given that Vector 1 (A)= (77, 48, 22)  And , vector 2 (B)= (4, 49, 67) Let i, j and k be the unit…

Q: Use the law of sines and the law of cosines, in conjunction with sketches of the force polygons, to…

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Q: The following angles are given in radians. Convert them todegrees: p>6, 0.70p, 1.5p, 5p.

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Q: (b) A particle moves from position A to position B in the following Cartesian coordinate system.…

A: We are given 2 points in space. We first find position vectors of these 2 points. We then find the…

Q: and vector

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Q: Let 7 (t) = (4t? + 5, 5e-4, – 2 sin(t)) Find the unit tangent vector T (t) at the point t = 0 T(0) =…

A: Given-                                                                    r→t=4t2+5, 5e-4t,…

Q: Here are three displacements, each measured in me- ters: di = .0 and dz = 4.0î +3.0ĵ+2.0k. (a) What…

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Q: What will be the cross product of the vectors 2i + 3j + k and 3i +2j + k? O2i +3j +k Oi+ 2j + k O 2i…

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Q: The cartesian coordinate form of two vectors are: (-2, 0, 2) and (1, 1, 1). Find the angle between…

A: Given: The cartesian coordinate of the vectors is (x1, y1, z1)=(-2, 0, 2) and (x2, y2, z2)=(1, 1,…

Q: Consider two vectors à = (1, – 3,0) and B = (0 ,0,7). Let C be their cross product: Č = Ã × В. a)…

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Q: 2. Determine the moment (in Cartesian vector form) created at A by the 60N 'pushing' force acting…

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Q: Use the definition of scalar product, · = ab cos ?, and the fact that · = axbx + ayby + azbz to…

A: The scalar product of two vectors is defined as the product of the magnitudes of both the vectors…

Q: Given the vectors: A=7i-8j+3k ,B=2i-4j-7k , C=5i+3j+4k  a) The possible dot products of the…

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Q: Evaluate the centroid (x,5) of the compound wire as measured from the origin O (0,0) in FIGURE 4.…

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Q: Use the law of sines and the law of cosines, in conjunction with sketches of the force polygons, to…

A: Let F1, F2, and F­3 denote the three forces, θ1, θ2, and θ3 denote the three angles of the forces…

Q: Consider the 3D vectors C and D defined as C = 4i + 5j - 12k and D = 12i - 8j + 2k. Which of the…

A: Given,  C = 4i + 5j - 12k   And  D = 12i - 8j + 2k

Q: Problem # 01: Given two vectors u and v, the dot product (also called inner product) is defined by…

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Q: Determine the couple moment. Express the result as a Cartesian F= (50i-20j +80k} kN vector. B 8 m 4…

A: Given From figure position of point A and B are respectively: A(-4, 5, -6) and B(0, -3,8)

Q: Use the law of sines and the law of cosines, in conjunction with sketches of the force triangles, to…

A: The orientation of the for 240 N from the positive x-axis is, The orientation of the for 180 N from…

Q: vector algebra dot product of (i+j+k) and (i-j+k) is?

A: Given : Vector 1 →V1→=i^+j^+k^ Vector 2 →V2→=i^-j^+k^

Q: a. Prove the triple product identity Ax(BxC)= B(AC)-C(A.B).

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Q: Use the law of sines and the law of cosines, in conjunction with sketches of the force polygons, to…

A: Given: The resultant magnitude R and the angle θ between the x-axis and the line of action of the…

Q: ↓ B A=28+72 B-49 Find the vector product Ax

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Q: What is the angle in radians between the vectors a = (-9, 1, -10) and b = (10,-5, -5)? Angle:…

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Q: (9) You have 4 vectors, a, b, c, and d for which you know their magnitude and directions. How would…

A: Given  We have four vectors  a , b , c and d.  We know the Magnitude and direction of each of these…

Q: 1.47 •• The vector product of vectors Á and B has magnitude 16.0 m² and is in the +z-direction. If…

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