Consider the three following matrices: 100 10 0 0 A 0 -1 0 0 0 1 9 B = 0 0 00-1 Calculate the Tr((ABC)*). 0-i and C = i 0 0 0 -i i 0

Q: A = 2î + 3j + & B = -41 + 23 – k C = 21 – 3j + 4k a) (AX B) · č b) (BX A) c) (AXB) · (CXB)

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Q: The angle made by the vector A = 22 + 3ỹ – 2 to the y axis is Select one: O e = cos-) O e = cos O…

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Q: a) Express the point P (-2, 6, 3) in cylindrical and spherical coordinates b) If A = r sin cos ar…

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Q: vector A is (2m) Long and is 60 above the x-axis vector B is (am) · Long and is 60 below the X. axis…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: let vector a = , vector b = , vector c= Evaluate: vector a*(vector a*vector b) / |vector c|^2

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Q: (a) Find the curl of the following vector: A = r cos 0 f-(sin e cos e@ (spherical) 2ô (spherical)…

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Q: Let be a vector , whose rectangular components are V = -4 and vy = 3: a) Draw the vector i on the…

A: A vector quantity has magnitude and direction. In two dimensions, a vector is represented by its…

Q: Can you calculate the following 2(vector B x (3 x vector C)) Where vector B is (-3,0,1) Vector C…

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Q: If A = 34 m, B = 34 m, and the magnitude of A + B = 48, which of the following is true? O A and B…

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Q: .19 If A and B are nonzero vectors, is it possible for A B and x B both to be zero? Explain.

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Q: Displacement vector for C to A meters Displacement vector for A to B C meters x + Displacement…

A: Given that: Position coordinate of A(1,8) m Position coordinate of B(3,1) m Position coordinate of…

Q: Sketch and determine the magnitude and the direction cosines of the vector given a position. d Rx Ry…

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Q: (b) Given, r, = 5i + 12j-8k, r, 6i-9j + 9k and r, = 4i + 3j + 7k. Find the magnitudes of 3r, + 4r,-…

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Q: Evaluate the integral: 1 dr 2x2 – 3x – 2 -

A: We know the concept of integrand as a sum of functions. By taking the denominator function as a…

Q: ok i understand much better now but where did the 0.258 come from (multiplied to 17)

A: Moment of force

Q: In the sum A+B=Č , vector has a magnitude of 18 m and is angled 39° counterclockwise from the +x…

A: This is a problem related to vectors. The below-given diagram shows the arrangement of the given…

Q: Express the ff. as a single 2 × 2 matrix. exp (it)

A: We can every exponential in a matrix form. The solution of the above problem is as following in step…

Q: prove that A ⊕ B Equal to inverse of Y= ĀB+AB̄

A: A xor B is given by A' B + AB' Given, Y = A' B + AB' Y' = (A' B + AB') ' Y'  = (A'B) '. (AB')'  Y' =…

Q: Q1) Given points A(p= 5, 6 = 70°, z -3) and B(p 2, 6 =-30°, z = 1), find: (a) a unit vector in…

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Q: Prove A is perpendicular to A×B [Assume A=Ax i + Ay j +Az k, B=Bx i + By j +Bz k]

A: Solution:-Given thatProve A is perpendicular to A×B

Q: Which of the following statements about the given vectors is FALSE? Please refer to the picture for…

A: According to question we need to choose false statement for given vectors .

Q: If ů = (i) × (j) and i = (j) x (-k), find the length and direction of ủ ×ỉ and i x ủ. Length of u x…

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Q: Suppose U and V are unit vectors in R" and ||U – aW|| = 6 and angle between U&W is 90°, then the…

A: Answer                +√35  ,  -√35

Q: These are the component forms of vectors u and w: ū u = (1, 1) w = (2, 4) Subtract the vectors. ū -…

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Q: Given the point P(-0.4 m,0.5 m) in cartesian coordinates: 1. Write the position vector (including…

A: Position vector in form of Cartesian co - ordinates is given as vector component along x-axis and y-…

Q: Vector u = and vector v = . Find u X (-9v)

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Q: + 60 -30 - 20 - 80 + 20 +60

A: A closed traverse with the meridian points that passing through the initial station, the double…

Q: directed

A: The forces can be represented as,

Q: Given vector A=2i-3j and vector B = 2i -4j. If vector C = A -2*B then C equals ..

A: Given data:  vector A=2i - 3j and vector B = 2i - 4j Vector C = A - 2B Required: The vector C

Q: Earth R 0 Sun -X Determine the distance between the positions of the earth if the angle between its…

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Q: Evaluate the matrix for Lx for l=1

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Q: Guer the magnialudes A=4 B=3 C:3.5 And the andes below, find the vector sum of the theee vectors in…

A: Given,  A= 4 B= 3 C= 3.5