If vector u = (1,2,-2) and v = (3,0,1), vector k is the cross product of uxv. a) prove that the vector k is perpendicular to u and v?  b) Based on the figure below, prove that:   jxi = -k, ixi = 0, jxk = i note do it in a structured way and write it down in the basic equations in problem solving

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Q: Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. Find the area of the parallelogram…

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Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

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Q: Q1: suppose the middle of each side of the triangle is a vector from the vertex (1,2,3), (3,2,1),…

A: Vectors

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Q: 3a) Use the cross product to determine a unit vector that is perpendicular and in the opposite…

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Q: Let u=j-5k, v=5i-j+k, w=-10i+2j-2k Which vectors, if any, are perpendicular? Which are parallel

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Q: Let a = [3, -7] and b = [-5, 11].

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Q: Find the magnitude of the vector AB with initial point A(4,-2) and terminal point B(1, -5). Give…

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Q: 4. Find two vectors and such that (i) both and are perpendicular to = (1,0,-1) and (ii) is…

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Q: 4) Consider the vectors u = [3, -2] and v= [-5, 4], write a = [-24,18] as a linear combination of u…

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Q: O let A = i+2j-K, B=-i+j+K, Esi+k, 5z i+2j-K which vectors are: @ perpen dicular Parallel

A: Our are objectives to check which vectors are parallel and which vectors are perpendicular