6) Let U be the plane spanned by the two orthogonal vectors and in R. If v = (0), which one of the following vectors is the orthogonal projection Pu(v) of v on U? a) 2 b) d) 6.

Q: 4. Prove that the vectors a= (1,1,1); b-(1,-1,0) and e-(-1,-1.2) are orthogonal to each other! 5.…

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Q: 18) a) Find a unit vector that is orthogonal to both u = and v = . b) find the area of the…

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Q: Q11. Consider the vector u, v, w defined by u = (1,1), v= (4,0) and w = (0,3) %3D %3D %3D a) Express…

A: Given: u=(1,1)v=(4,0)w=(0,3)

Q: Use the cross product to determine the angle between the vectors [4, 5, 2] and= [-2, 6, 1]. Verify 9…

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Q: 2. If X(-2, -6, 5) and Y(3, -4, 1) are two points in R³ , determine: a) XY b) | XY | in reduced…

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Q: 2. The position vectors of A, B and C relative to a fixed origin O are respectively, Find, ABAC

A: [2].

Q: Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a =…

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Q: a. Without doing any calculation, explain why one might conjecture that two vectors of the form (a,…

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Q: two points in the 3D plane, where A=(2,-4,6) and B=(5,-9,8). Which of the following would be the…

A: In this question, the magnitude of the vector is determined. The magnitude of the vector A→=a,b,c is…

Q: a. Find the cross product u x v. Express the answer in component form. b. Sketch the vectors u, v,…

A: Note : As per rule I need to solve only first three subparts.