Find the component form and magnitude of the vector v. y 7 (1,6) 6 5 4 3 V 2 1 x -1 1 2 3 4 5 6 7

Q: t Y 16 ● Given: A = (8.16, 5.255.23) m B = (8.16, 0, 5.25) m F=85.3 N with unit velor [Sep 1²…

A: Given data  Coordinates A= (8.16, 5.23 , 5.23) B= (8.16, 0 , 5.23) Force F = 85.3 N Unit vector = (…

Q: Find the magnitude and direction of the resultant and equilibrant of the concurrent coplanar force…

A: Given Data F1=5 N F2=8 N F3=6 N F4=10 N F5=3 N

Q: A = (cos p + 3z) ap - (2r + 4 sin p) ap + (r – 2z) az B = -sin p a, + cos (p az Find a unit vector…

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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: 1. Show that the following vector field is conservative: F = (4 xy - 2z)î +(2 xr² - 6 yz ) j +(-3 y²…

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Q: For the vectors A = 8.0m South and B = 15.0 m, 30° E of N, use the method of components to find the…

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Q: Determine the magnitude of the vector difference V = V₂ - V₁ and the angle ex which V' makes with…

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Q: EXAMPLE 1 DETERMIE THE RESULANT MOMENT OF THE FORCES .SHOWN ABOUT POINT O 10 4 3 22 3m 30 15 1m 35…

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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: 1. 2. Find the components of T. 4 Find the components of T2- (Reminder: cos(a) = == T = 6m 30% -40⁰-…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: The moment of the force F-240-lb about the point O in Cartesian vector form is. 1 ft 4 ft 2 ft 4 ft

A: From the figure we have to find moment of force F about point O.

Q: The moment of the force F=720-lb about the point O in Cartesian vector form is. F 1 ft 4 ft 2ft 4…

A: Solution: Moment of Force F about O and its cartesian form is obtained below.

Q: Determine the angle between vector AB and vector AC.

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Q: a. What is the cross product of vector A and B (Ax B) if A--371 +48j+16 k, and B-451+56j+-76k

A: Step 1: Step 2: Step 3: Step 4:

Q: 4) Find the value of the force F that makes the horizontal component of the resultant The three…

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Q: Given the Position vector R = 2i -j+ 3k (m) and the Force vector F = i +j+k (kN) Determine the angle…

A: Given Position vector = (2i – j + 3k)m Force vector = (i + j + k) kN To find Angle between the…

Q: 1. Find P and a if the resultant is 500 N to the right along the x-axis. Refer to the figure below.…

A: GIVEN DATA-  A SYSTEM OF FORCE IS GIVEN  RESULTANT =500N  WE HAVE TO FIND VALUE OF P AND ANGLE ALPHA…

Q: 1- The work done by the force F 41-31+2 k to displace a body from point (3,2,-1) to point (2,-1,4)…

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Q: 1. Show that the following vector field is conservative: F (4 xy - 2z)î +(2 x² - 6 yz ) ĵ +(-3 y² -…

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Q: The moment of the force Fa960-lb about the point O in Cartesian vector form is 1 ft 4 ft 2 ft 4 ft…

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Q: Consider a vector field v(x, y, z) defined by v = (sin y - cos z)i + (2x + cos z) cos(y)j + (x − sin…

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Q: The moment of the force F=120 lb about the point O in Cartesian vector form is.

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Q: Consider the vectors A = 32 + 2y + 2, B = -2+ỳ-22 y C = â + 2y +42 Express the following vectors in…

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Q: What is the x-component of the resultant

A: To determine the X component of the resultant.

Q: F2 = 81 lb F = 100 lb 4 ft B 3 ft 40° 7 ft 4 ft For the problem shown, the vector F2 expressed as a…

A: The direction of force F2 as shown in the given diagram is along CB. Therefore, the unit vector…

Q: Determine the magnitude of the vector sum V = V₁ +V₂ and the angle 0x which V makes counterclockwise…

A: To find: The magnitude of the vector V=V1+V2. Given: The magnitude of the vector V1 is 29 units. The…

Q: For the given vectors below, Solve for Vector č = (à + B) × (÷ (B × Ã)) A = 3i+ 27 – 67 B = 31 – 23…

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Q: The moment of the force F=960-lb about the point O in Cartesian vector formn is. 1 ft> 4 ft 2 ft 4…

A: The position vector for B is B→=i+4j+2k The position vector for C is C→=5i+0j+0k The vector along BC…

Q: Given B= (z-3y) a - (2x – 3z) a, - (x + y) a, find a unit vector parallel to B at point P (1, 0,…

A: Given data: B=z-3yax-2x-3zay-x+yaz Need to determine the unit vector parallel to B at point P.

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: iestion#3(a): Find the gradient for the scalar function: f x,y = x -1'- y +2 ´ + : +3 , p: 1,3,6 .…

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

A: Solution:

Q: The rope ABexerts a 46 - N force T on the collar at A Let rCa be the position vector from point C to…

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Q: The moment of the force F=120-lb about the point O in Cartesian vector form is. F-120 lb 1ft 4 ft 2…

A: The position vectors is calculated as, O→=0i^+0j^+0k^B→=1i^+4j^+2k^C→=5i^+0j^+0k^ The vector OB is…

Q: The moment of the force F=120 lb about the point O in Cartesian vector form is.

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Q: the vector A= - 2x - y + 9z is firstly rotated +180 degrees around x-axis then Transformed by…

A: Given: A→=-2x^-y^+9z^θ=180°Rotation matrix about X axis=1000cosθ-sinθ0sinθcosθVector after…

Q: Consider the following vector: • J - 17 @ 195° What is the magnitude of the y component of J?

A: Consider the diagram shown below for the given vector.

Q: What is the solution of this problem?

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Q: Determine the magnitude of the vector difference V' = V2 - Vị and the angle 0x which V' makes with…

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