Use the dot product to find the angle between the position vectors A and B

Q: Fill in the blanks in the following: 1. The vectors A and B are parallel if A. B = 2. If (9,5,-4, 2)…

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Q: Find the resultant and its direction of these * forces

A: To determine the resultant and the angle of resultant.

Q: The magnitude of a given vector with end points (4, – 4, 0) and (- 2, – 2, 0) must be * 7.07 4 6.32…

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Q: Find the resultant and its direction of these forces 35N | 36° 48° 18 N 75N

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Q: Find the resultant and its direction of these forces

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Q: calculate the value of the scalar a such that x₁ = [ a -1 1 ], and x1 = [ 1 0 1 ] are orthogonal.…

A: Step 1: To know if a vector is orthogonal, its dot product should equal zero. Step 2: In calculating…

Q: For the vectors shown, analytically determine the resultant R = A + B . A = 12 35⁰ B=8 30° 1

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Q: Determine the x and y components of a vector whose magnitude is 37 m at a 25° angle from the x-axis.…

A: Given that →magnitude=37                    Angle from x axis θ=25°                   Let the…

Q: 4. Determine the length of the rod and the position vector directed from A to B. What is the angle…

A: Given,

Q: c. Find the moment of the forces about point A. d. Find the shortest distance 30 800 N between the…

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Q: Find the resultant of the following vectors: d, = 180 km E30° N d2 = 120 km W45°N Use the following…

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Q: 8 if M =500 N.m. what is the resultant moment at point O as cartesian .vector 4m 600 N.m 450 N 600 N…

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Q: B1.5 m /C 1.5 m P= 0.8 kN T-1.2 kN 3m 015 m 3 m 2 m Im D - Determine the x-, y-, and z- components…

A: Given figure

Q: fınd a vector of length 5 unit that makes angle 76° with Y-axis and 25° with Z-axis ?

A: Given that, Length of the vector, l=5 unit,Angle of length with Y-axis, β=76°Angle of length with…

Q: if M =500 N.m. what is the resultant moment at point O as cartesian vector.

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Q: R4 m 4 m 2 m y=2(x-3Y0.5- 1m,

A: The Center of mass is a point where the sum of the moment of the weight of each particle is zero. It…

Q: In the given figure, Find the y coordinate of point A so that the 400 N force will have a clockwise…

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Q: 6) FIND THE MOMENT OF THE FORCE F ABOUT POINT A, USE VECTOR ANALYSIS. 19² 24" F = 650 lb 30" 15

A: Given:The force is .Consider an image below:

Q: A triagle is defined by the three points A(2,-5,1), B(-3,2,4) and C (0,3,1)  Find: a. Rbc and Rba…

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Q: a. Determine the resultant and direction in the system shown. b. Calculate the moment about point A…

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Q: In the given figure, Find the y coordinate of point A so that the 361 Ib force will have a clockwise…

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Q: The three noncoplanar forces displayed in the figure pass through the origin. resultant it makes…

A: GivenF1=70NF2=120NF3=100N

Q: Two vectors A and B are acting as shown in figure. If A = resultant is: 10 N 60⁰ 10 N B = 10 N then…

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Q: 3. Determine the magnitude of the vector sum V = V1 + V2 and the angle which it makes with the…

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Q: a:\ If A- 21 - 3j + k and B--i+3j+3k Find: 1- The angle between the two vectors. 2- Unit vector…

A: For solution refer below images.

Q: A. Express the force F in Cartesian vector notations; if the force F =400 N B. Express the position…

A: Given data: The magnitude of the force F→ is F→=400 N. The coordinate of the point N is N1,2,0.

Q: The moment of the force F=240-lb about the point O in Cartesian vector form is:

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Q: The moment of the force F=360-lb about the point O in Cartesian vector form is.

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Q: The three noncoplanar forces displayed in the figure pass through the origin. Determine the angle of…

A: Given: The three noncoplanar forces displayed in the figure pass through the origin. To find: The…

Q: 2. 7 in. Find the moment of the 650 N force about A using vector analysis. 8 in. F = 650 lb 30 in.…

A: F=650 lb   To find: The moment of F about A,MA.

Q: What is the solution of this problem?

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Q: Q1/ Given the vectors = 31 - j+k and 7=2i-3j+k, find the ix 7 product vector 7x7 and compare it with…

A: Given vectors are, u⇀=3i-j+kv⇀=2i-3j+ku⇀×v⇀=ijk3-112-31=2i-j-7k As,…

Q: In the figure below, find the resultant of the two forces and a direction

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Q: Which of the following systems is not equivalent to the rest? System 1 System 2 10 kN 10 kN 80 kN-m…

A: Only one question is allowed to solve.

Q: Calculate the Inner (dot) product between pair of vectors given below. Calculate the angle between…

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Q: Problem # 01: If F₂ =30lb and Fc =45lb, determine the resultant moment about the bolt located at A…

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