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

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: Two vectors of magnitude 8 units and 10 units respectively make 60° with each other as shown in…

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Q: If A = 3i + 4j and B=7i + 24 j, the vector having the same magnitude as B and parallel to A is (b)…

A: Given, Vector A = A → = 3 i^ + 4 j^ Vector B = B → = 7 i^ + 24 j^   We are supposed to find the…

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: 3- Two vectors A-i+2j-k written and lying in the xy-plane, the A.B can be A: 12 В: 10 C: 6 D. 0

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Q: Given are 4 points in space: (x,y,x) A(3,2,3)  B(0,1,4)  C(2,4,1)  D(0,5,4) The line of action of…

A: As per the guidelines, I can solve only first three subparts of first question. For rest parts,…

Q: Answer the following question: 2. What is the difference between a scalar and a vector with what is…

A: Given data: What is the difference between a scalar and a vector?

Q: Which are the Matrices of a vector?

A: When a matrix is having either one row or either one column then it is defined as vector.

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 magnitudes of F2 component along the u axes

A: Given: The force, F1 = 500 N The force, F2 = 300 N

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

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Q: find the angle between the vectors u = 2i – 2 j+k, v= 3i + 4k

A: Given two vectors, Find, Angle between them ,

Q: 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

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Q: a: Express the vector î+ Ĵ in terms of the triad i' j' k' where the x' z' axes are rotated 60 degree…

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Q: Q2: Determine the magnitude and direction for the resultant for ONE of the showing systems below…

A: F1=500 N ,θ1=45°F2=500 NF3=700 N, θ3=30°F4=150 NF5=300 N

Q: The magnitude of two vectors A and B shown in the figure below are respectively A = 3m and B = 1.5…

A: first of all segregate A and B vector in i (x- component) and j (y- component) form. then apply…

Q: Given are 4 points in space: (x,y,x) A(3,2,3)  B(0,1,4)  C(2,4,1)  D(0,5,4) The line of action of…

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Q: Use De Moivre's theorem to (i) express (2 + 2i)5 in polar form. (ii) find all cube roots of (V3 + i)…

A: (i) Write (2 + 2i)5 in the polar form,

Q: Please help . Mechanical engineering. I need correct answer so attempt only if you are sure.

A: Step 1: Given start point of vector v is  (x1​,y1​)=(1,3)End point of vector v is (x2​,y2​)=(−2,5)…

Q: if vector p-3, the magnitude of vector p is [21 17 V7 7 V17 N32

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Q: 1 ) T = cos 0 a, + r sin 0 cos o a, + cos 0 aó .2

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

A: Given V=(3xz2,  -yz,  x+2z)

Q: 2000Lbs 30% 60° y A' \ B The bar OA is fully constrained at O and attached to the cable AB.

A: Given Data: The length of bar AB is 20'. The coordinate of point B is (8',16',0). The force in the…

Q: 20 N * 75 N 450 50 N 150 N

A: In the question given above, all the forces are to be resolved into two components horizontal and…

Q: Find the magnitude of A, if A = { 2 , 3, 4}

A: Given Data⇒ A = { 2 , 3, 4}

Q: In the Figure 2, the resultant R can be found as:

A: Given data : Force=P Force=Q Angle between force=β=90∘   Finding : Resultant

Q: 5) A = 2i+3j+5k and B = 3i+6k, Determine the unit vector of (AXB).

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Q: Given are 4 points in space: (x,y,z) A (3,2,3)   B (0,1,4)   C(2,4,1)   D(0,5,4) The line of…

A: GivenA (3,2,3)   B (0,1,4)   C(2,4,1)   D(0,5,4)F=40kNG=50kN

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: Find the Angle between Line AB and Line AC

A: Find the vector in the direction AC: r→AC=r→OC-r→OAr→AC=b i^+c k^-c j^r→AC=2 i^+3 k^-3 j^=2 i^-3…

Q: Magnitude of Vectors in 3D Let a =(2, -4, 6). Find a.

A: Given, Vector a → = < 2 , -4 , 6 >   From the vector, x-component of vector = ax = 2…

Q: The following values of coefficient of kinetic friction can exist for two bodies in contact with a…

A: 1) 0.8  2) 4j + 3k

Q: Find 1-UXV (cross product) 2- the area of the parallelogram 3- directions If u = i+j-k v = 2i +j+ k,

A: Given : u = i+j-k v = 2i+j+k

Q: What is the resultant if the equilibrant is 10N , 30° N of E?

A: