A4. Which of the following vector fields is not the curl of another vector field? A. F=zi+=j+yk B. F= ²1-2ryj+5k C. F=3ri-2yj-zk D. Fri+yj+zk E. F= 21+2j+4k

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Q: 1. Consider the pointsS= (1,−3) andT= (2,5).(a) Sketch the vector−→ST.(b) Give the component form…

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

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A: Write v as the sum of two vector components if v=2i+j and w=3i-2j.

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Q: -3 3 Let u = -5 and i: 7 Find a vector w not in span {u, v}. 4 -3

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Q: Q1. If O (0,0,0) in (x,y,z) 3-D space and r(2,5,1) draw the vector in 3D and find its direction.

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A: Given f(x,y)=2x2+5y2 u⇀ is the the unit vector in the direction of π6. So,  u⇀=cosπ6,sinπ6=32,12

Q: 2. Sketch the vector v = 4i – 6j. 1아 6 4 2- 10 -8 -6 -4-2 2. 4. 6 8 10 -2 -4 -8 C0 10

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Q: (2.) Let V be the vector space of M1x2(C) over R. (a.) Give a basis for V. (b.) Let W = { { 1] z €R.…

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