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

Q: A 40 N 6 m Fc = 420 N

A: Given

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: Find the following for the vectors v= 10i+11j-2k and u=8i + 15j. a. v. u, vl. Iul b. the cosine of…

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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: The diagram at the right shows vector F. If F =-Q, where Q>0, I(d) determine the value of F in terms…

A: The force F is making an angle of θ with +y axis  and x-component of Force = -Q where Q > 0

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: 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: Q4/ Determine the magnitude of the vector V and the angle e which vector V makes with positive…

A: Given data: V1=18 units V2=14 units Need to determine the magnitude and direction of the 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: Transform the rectangular vector (-1.860, -3.987, 2) to cylindrical vector

A: Given: rectangular coordinate = (-1.860,-3.987,2)

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

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

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

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Q: Find the vector format for vector AB. Find the coordinate angles for AB. 5 ft B7 ft· 10 ft 30⁰ 70°

A: Coordinates of the point  A=(- 10cos70sin30 , 10cos70cos30 , 10sin70) B=(5 , -7 , 0) We need to find…

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

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

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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: 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: Which is a true statement about the following two vectors? V₁ = i +2j+k V₂ = i +3j - 7k O A. The…

A: V1 = i + 2j + k  V2 = i + 3j - 7k  Dot product of V1 and V2 = V1.V2  = (i + 2j + k).(i+3j-7k)  =…

Q: Find the unit vector that points from point O toward point A.

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Q: Determine the magnitude and the direction angles of a vector -3i + 4j - 7k m. Magnitude is m, a = B…

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Q: etermine the angle between vector A and vector B hown in the figure. 120 mm B 50° 200 mm A 180 m

A: To find angle between vector A and B

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: 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: Find the vector format of vector AB. V C 1 m 2 m A 0.75 m 40° 2 m 3 m B y

A: For a given system, we need to find the vector AB

Q: Ã = 0,5 (42+2ỹ), B = −42 y C = 34¹ Express Consider the vectors the following vectors in their…

A: The vectors are The vector P is

Q: 1. Find the resultant and its direction from the x-axis (0,) 7 k 15 k 50 ° 10 k

A: Given:

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: Find the conjugate of z if z = (1+3i) + (–2 – 4i) 1+i -1+i -1 – i 1- i

A: Correct option: (c) - 1 + i

Q: Write the F1 as Cartesian vector. F1 = 100 lb 0 = 35 deg = 40 deg

A: