Find the resultant of the vectors and it's direction. Vector A (2,6) and B (8,1)

Q: Find the distance

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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: 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: If r = (x, y, z), prove that v ( ² ) = - = /1 r

A: To prove: The ∇1r=-r→r3. Given: The given vector is r→=xi^+yj^+zk^.

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: Find the equation of the circle passing through the points(1,2)having its center(4,6)

A: Solution     The equation of the circle             x-a2+y-b2=r2

Q: Determine the unit vector of r.

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Q: theta - 33 degrees M1 - 450 Nm M2 - 550 Nm M3 - 650 Nm M3 "t Find the angle of the resultant moment…

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Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

A: Givena=2b=3V1=10V2=14θ=55o

Q: If vector A =yi-xj+zk the curial of vector A is -2k O 2k -2j O -21 O

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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: Determine the unit vector of r.

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Q: Find the direction of the Resultant * Force Fr from positive x-axis y 35N Fr 42N

A: Given data: Fx= 42 N Fy = 35 N Need to determine the direction of the resultant force.

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: Find the angle between the vectors u (2,2,-1) and v (5,-3,2).

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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: Determine the position vector r directed from point A to point B and the length of cord AB. Take z =…

A: Write the points A and B in vector form.

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

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Q: IfP =300 N. Write Pas cartesian vector F1 60 l135°, P(N) F3 60 P. 200 N F.

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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: 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: 1. Find the curl of the following vector fields a) V= = (3xz², -yz, x + 2z)

A: Given V=(3xz2,  -yz,  x+2z)

Q: * Find the angle between two vectors Ġ= -î+ĵ+2k ‚, š= 2î+3ĵ-Ê

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Q: Find the superimposed transformation of the vector A, which consists of the compounds (A, A) within…

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Q: Q 2: If A = 2 i +4j + k and B = 4 ỉ - 4j + 8 k Find the vector projection of à on to B and also B on…

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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: Q1: The two vectors A and B in Fig. below have equal magnitudes of 10 m. Find the Result (R)…

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Q: 600 N F1 12 200 N 30° F2 3.

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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: fA = 2i + 4 j - 5 k, the the direction of cosines of the vector A are *

A: Given data; A⇀=2i^+4j^+5k^therefore direction ratios of A are (2,4,-5)Direction cosines are given by…

Q: For vectors A = - 10i + 5j + 12k and B direction of B Submit Question – 3i – 7j + 7k, find the…

A: Given data: A→=-10i+5j+12kB→=-3i-7j+7k Need to determine the projection of A→ along the direction of…

Q: i) The position of a point P of a rigid body B is located at B₁ = [1, 2, 3]¹. Determine the global…

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