2.53 Prove the following identities when A and B are vectors and S, R, and T are second- order tensors: (a) tr(AB) = A.B. tr(ST) = tr S.

Q: If v is a vector,then v + (-v)=.................

A: If v is a vector, then v+-v=___.

Q: If a = i+ 3j +k and b = i+ 9j +k, find a unit vector with positive first coordinate orthogonal to…

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Q: find the component form of the e resultant vector if₁ v= and w=. Find la v-swl.

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Q: 2.42 Given vector A and second-order tensors S and T with the following components: {}} -1 0 51 374…

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Q: Find the unit vector in the same direction as the vector u = [2, –1, –9]. Ex: 1.234 C Ex: 1.234 Ex:…

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Q: (2) For every vector u and vector v in se A) True B False

A: Introduction: Vector is a quantity that has both magnitude and direction. Some mathematical…

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A: Vector equation of line

Q: 5) Write the analytical expression of the unit vector for F= 400 i + 700j - 400 k %3D

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Q: O Find a unit vector (a vector with length 1) that has the direction of 3 2

A: Given below the detailed solution

Q: Does A(u x v) = Auxv +ux Av?

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Q: 1. Find the vector ? directed from (2, −4, 1) to (0, −2, 0) in Cartesian coordinates and find…

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Q: What is the resultant of vector A=2i +3j. and vector B=3i -2j Select one: a. 3.5 O b. 2 C. 5/2 Od.…

A: A vector is something that has both magnitude and direction. Like, if you are saying, someone is…

Q: A. Give the Cross products of the unit vectors (i, j, k).

A: Understanding of cross product of three vectors are required to under this.

Q: A. B. | Find a nonzero vector w € R³ which is orthogonal to u but not orthogonal to v Find a nonzero…

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Q: Let A = 5.7 ag -2.5ẩn and B = -1 âg+ 4an given the unit vectors = 0.6a+ 0.8ẩy and ẩh = 0.8ất – 0.6a…

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Q: 4. [6.1] If vector b is shown below, sketch a vector. a) Equal to b b) Opposite to b c) With the…

A: Solution of given question is written in below steps.

Q: Q3. Prove that (only one): a-dy is a unit vector? a- %3! b- L = 6a, - 3a, + 2a, and M = 3a, + 2a, -…

A: Topic- Vector

Q: 14. Consider the following vectors: 1 4 8 -3 u = v = -5 1 a. Find the scalar product (dot product)…

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Q: Find a unit vector parallel to the vector a´. a'= (-2,3,–1)

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Q: If A is a conutant vector and R= 3xi+ 3yj+ 32K, then grad (3A -R) = ? %3D A O 3A ©9A 27 A

A: A is a constant vector  R=3xi+3yj+3zk 3AR=9Axi+9Ayj+9Azk To find grad(3AR) Let Φ=9Ax+9Ay+9Az gradΦ=i…

Q: -2 Let v be the vector 1 |. The vector of length 6 in the same direction as v is 2 Select one: 4 a.…

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Q: Let v be the vector The vector of length 3 in the opposite direction as v is 2 Select one: a. -2 O…

A: Vector v  = (1,2,-2) opposite direction to  given vector can be find as -v (-1,-2,2)