Determine the moment of the force F about point P. Express the result as a Cartesian vector. Z P 2 m 2 m- O 3 m- 2 m A 1 m F = {2i +3j - 6k} kN 3 m

Q: The figure shows a potted plant acted on by four forces. Evaluate the vector product between forces…

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Q: A force is specified by the vector F = [(-170)i + (120)j + (-80)k] N. Calculate the angles made by F…

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Q: Find a unit vector in the direction of v. v = 12i - 35j

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Q: Find the unit vector in the same direction as the vector u = [8, –7].

A: When you divide a vector by its magnitude you get an unit vector along its direction.

Q: Find Vz. 2x + 5y 2= 2x - 5y NOTE: Give your answer in unit vector notation; that is, in terms of i…

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Q: Find Vw. w = x+y³z11 NOTE: Give your answer in unit vector notation; that is, in terms of i, j, and…

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Q: Express the force in Cartesian vector form. F= 21 kN 3 m Im m, 2 m

A: The initial point of the vector is (0,0,0) The terminal point of the vector is (-1,-2,3)

Q: A vector is A=3i+7j and B vector is B=2i-5j+2k. C vector is C=A+B where ij,k are the unit vectors of…

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Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: write answer as fraction -(1/2)^3

A: We know , (a/b)n = an/bn

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: Q4: Find the vector A in 3D coordinates that makes equal angles with all axes.

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Q: 3. Find a unit vector in the direction of v. V = 20i – 21j

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Q: Let b = i + j − k. Find (algebraically) the unit vector in the direction opposite to b.

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Q: Find the unit vector u₁ in the direction of vi −1 = 3 4

A: Step 1:  Step 2: Step 3: Step 4:

Q: 8. The magnitude of force F is 450 lb. Express F in Cartesian vector form. y, ft 030° A(4,-2) -x, ft

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Q: Find equation of Plane that an contains the vector: and 1-6 and Z=36

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Q: Find the vector proj, u. v = 3j, u = 31 + 4k O A. O O B.ii 1 1 Oc. O D. 10

A: We have to find vector projection

Q: Find the triple scalar product (u xv). w of the given vectors. u= -51-3j+4k v=8i-10j + 2k w=31-6j-7k

A: The given vectors are u=-5i-3j+4k, v=8i-10j+2k and w=3i-6j-7k. We have to find the value of the…

Q: Find vector c = 3u – v, if u = and v =.

A: Given u = 2i - 7j + 3k and             v = 0i + 4j -  k = 4j - k Now vector c = 3u - (1/2)v c = 3(2i…

Q: Express the vector t as a linear combination of the vectors u, v, and w. 0. -2 t3D -5 W = 24 1 t= u+…

A: By Compearing the entries i have solves the problem

Q: Make all obvious simplifications.

A: We have to solve

Q: Let P be the point (1, –3, 0) and ū be the vector ī = (-3, 6, 2) %3D • Find the point 1 unit away…

A: Given: The point P=(1,-3,0) and the vector v→=-3,6,2

Q: V.EVALUATION: Given the following scores: 5, 7, 12, 14, 15, 22, 25, 30, 36, 42, 53, 65. Find: 1. Qi…

A: The given data is already in ascending order: 5,7,12,14,15,22,25,30,36,42,53,65 Q1=(n+1)4thterm…