if a=6 and b=12 determine the angle θ between the two cables

Q: Solve for the required using the given vectors A = 31 – 8j + 6k B = 4 j+ 9k - 5i с. (А х В) x С C =…

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Q: Determine the magnitude and angle 0 of F, given that the resultant force from the three forces…

A: Write the given forces, and their x- and y-components as follows.

Q: .Find the sum of the following vectors using the analytical method and polygon method A. 100 N, 30…

A: Draw a vector diagram.

Q: Determine the angles made by the vector V = (16)i + (14)j with the positive x- and y-axes. Write the…

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Q: Determine the magnitude and the coordinate direction angles of the resultant

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Q: GIVEN VECTOR M = -10ax + 4ay - 8az N = 8ax + 7ay – 2az Find: a. (M+2N)/ |M+2N[ b. The direction of…

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Q: In each case, find the x- and y-components of vector A: (a) A=5.0 – 6.3;: (6) Å = 11.2j – 991f; () À…

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Q: The components of vectors B and C are given as follows: Bx = -9.2 Cx = -4.5 By = -6.1 Cy = 4.3 The…

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Q: Consider the following vectors: F = i-2j-3 k G = 2 i-4j-6 k H = i+j+k Find the value of the vector D…

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Q: Let's try! Using both parallelogram and polygon methods, find the resultant of the following…

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Q: Find the angle between each of the following pairs of vectors. A = -2.00i + 6.00j and B = 2.00i –…

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Q: rmine the smallest angle between vectors D and C, and smallest angle between vectors D and B

A: The vector diagram of four vectors A, B, C & D respectively is drawn below:- Now angle break…

Q: Determine the magnitude of vector Q = 2i - 4j + 5k. a. 3√5 b. 6 c. √13 d. 5

A: Given data:  Vector Q = 2i - 4j + 5k Required: The magnitude of vector Q

Q: Q = 4C B = 100 F (uniform) V = 2 x 103 m/s angle = 30o   Find: magnitude of the force

A: Given data: Q = 4C B = 100 F (uniform) V = 2 x 103 m/s θ= 30 degrees

Q: A - B B = (110 cm, 2 270°) Find for the following vectors: A = (122 cm, Z 145°)

A: Given : A→ = 122 cm , 145o B→ = 110 cm , 270o

Q: 3i + 7j – 4k and (a) cos[A•B/AB] and (b) sin¯|A x B|/AB]. (c) Which 4. Two vectors are given by A =…

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Q: Given:   vecter A=<2,4,-6>        vector  B=<2,-5,7> If C = <3,y,4>  Find the…

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Q: B 130.0° 53.0° The magnitude of the vectors are A=6N and B=7N What is the rectangular component of…

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Q: Two vectors A and B are perpendicular to one another. Which of the following statements is true? O A…

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Q: F₂ = 600 N 45° F₁ = 800 N ·X F3 = 650 N 60°

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Q: Two force vectors of magnitudes 21 Newton and 79 Newton are added. Which one of the following is the…

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Q: 3 = 37 + 4ĵ +5k and M = 31 +4ĵ +5k js; The angle made by the two vectors

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Q: A = 3.00î + 5.00ĵ and B = 10.00î + 6.00ĵ %3D

A: Answer :  The angle between these two vectors is ∅= 28.072°

Q: Let S = (1m)i + (2m)j + (2m)k and T = (3m)i + (4m)k. The angle between these two vectors is given by

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Q: Let B = 4.80 m at 60.0°. č and A have equal magnitudes. The direction angle of č is larger than that…

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Q: Find the angle between the vectors A = 2i + 6j + 3k and B = 12i – 4j + 3k. Hint: a .b = ab cose %3D

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Q: Calculate the vector a x b when a = 2i +j -k and b = 3i - 6j + 2k %3D

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Q: If the F1= F2 = 40 KN determine the angle θ with y axis and o with y axis so that the resultant…

A: Given: F1 = F2 = 40 kN FR = 30 kN To determine: Angle θ Formula used: FR = F12+F22+2F1F2cosθ

Q: The 500 N weight is supported by two cables, the cable forces being F, & F2. Knowing that the…

A: Given, Weight of the block, W = 500 N

Q: If FB = 700 N, and Fc = 560 N, determine the magnitude and coordinate direction angles of the…

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Q: Show that the force vectorD ⃗ = (2.0i ^ − 4.0j ^ +k ^ )N is orthogonal to the force vector G ⃗ =…

A: Given The force vector D ⃗ = (2 î − 4 ĵ +1 k̂) N. The force vector G ⃗ = (3 î + 4 ĵ +10 k̂) N. If…

Q: The angle made by the vector A-i+j with x- axis is (a) 90° (b) 45° (c) 22.5° (d) 30°

A: Given vector A→=i^+J^

Q: Given the vectors A = 41+ 8j, B = - 8i + 7j and C = 121 - 10j find the resultant and direction by…

A: A→ = 4i^ + 8j^B→ = -8i^ + 7j^C→ = 12i^ - 10j^

Q: A 100 N force and a 50 N force act on a point P. The 100 n force acts due north. The 50 N force acts…

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Q: If θ = 60° and F = 450 N, determine the magnitudeof the resultant force and its direction,…

A: Given data The first force is, F = 450 N  The second force is, F1= 700 Nange made by first vector…

Q: a) Smallest angle between vectors D and C b) Smallest angle between vectors D and B

A: (a) Smallest angle between vector D and C is  θ=(900-530)+250θ=620.

Q: What is the angle between the following vectors? A=-2î + 3) B = 31 - 4)

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Q: Find the angle between two vectors A and B given by : A=6i +4f +2k and vector B=3f -5f-3k

A: Here given two vectors A and  B. Given A= 6i+4j+2k and B= 3i-5j-3k We have to find the angle…

Q: Solve for the required using the given vectors A = 31 – 8j + 6k B = 4 j+ 9k – 5i α. Α.Β b. b. А хВ

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Q: vector a = , vector b =  what is the value of vectors a*b.   what is the angle between vector a…

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Q: Given vector G = -3a- 8a, + az, determine the ff: a. Drawing of the vector G b. Magnitude of vector…

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Q: Given vectors: A = 8.3i + 33 and B = 6.5i + 7.4) Find AXB

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Q: If the vector A=4î+ 2dĵ and B=5î -ĵ are perpendicular ( oleis). What is the value of the constant d?…

A: Given: A=4i+2dj B=5i-j Introduction: The two vectors can be said perpendicular when the dot product…

Q: (a) an axis through O perpendicular to the page and (b) an axis through C perpendicular to the page.

A: we know that torque about a point = r x f  where r = perpendicular distance from line of action of…

Q: Determine the magnitude of the resultant force and its direction measured from the positive x axis.…

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Q: A 3 in. 1 in. 30° 60° 8 in. 2 in. В

A: To calculate the position vector of point A , first evaluate the displacements required in each…

Q: Find the direction of vector A=-29i+53j counterclockwise from the positive x axis.

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Q: If A = 12 i- 16 j and B = 24 i+ 10 j, what is the direction (angle in degree) of the vector C = 2A +…

A: Given data:  Two vectors  A = 12i - 16j B = 24i + 10j Required: The direction of the vector C = 2A +…

Q: Given the spatial force system, determine the resultant force and the angles they make with the…

A: Unit vector in direction of F→1 = 0i+4j+6k02+42+62=  0i+2j+3k13 Unit vector in direction of F→2 =…

Q: What is the angle between the following vectors? A =-2i + 3} B = 31 - 4) %3D O 1770 O 1370 87

A: Two vectorsA→=-2i→+3j→B→=3i→-4j→To find:Angle between the vectors, θ=?