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

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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: The product of an NxN matrix with an Nx1 vector is an NxN matrix. True False

A: I have done it using example

Q: If the Cartesian coordinates of a point are given by (-1, y) and its polar coordinates (r, 120°).…

A: given that    Cartesian coordinate =( -1 , y )  put  X = -1    Y = y polar coordinate =( r, 120°)…

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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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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

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A: Given: A→=i^+4j^+5k^B→=5i^+7j^+9k^

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

Q: Q1\Given two vectors P=2ax-ay + 3a, and Q = 4ax +3ay + 3a, find 1- a unit vector perpendicular to…

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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: 1.45 • Find the angle between each of these pairs of vectors: (a) Ả = -2.00î + 6.00oĵ and B = 2.00î…

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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

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

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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

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Q: 47 +5k and M = 31 + 4} +5k The angle made by the two vectors S = 3î is:

A: Dot product of two vectors can be calculated by A·B =|A| |B| cos θ  where Theta is the angle between…

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Q: The angle made by the two vectors 3 = 3î + 43 +5k and M = 31 +47 +5k j A) 90 B) No Answer c) 180 45

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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

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Q: A displacement vector P has a magnitude of 91 ft with component Pr 78 ft and Py = - 9 ft. Express in…

A: Given data: The magnitude of P→,P→=91 ft\]    Px=78 ft Py=-9 ft