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

Q: Find a vector b such that |b| = 1/2 that is parallel to a = but with opposite direction.

A: Given that: |b|=12a=<-6, 3, -2>

Q: 4 В T(t+h) A 21 y 01 2

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Q: Find the general solution of the given system. Use a computer system or graphing calculator to…

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Q: Find the projection of vector u⃗ = −i + 5j + 3k onto the vector v = −i + j − 3k?

A: Projection of vector u on vector v is given by  Projv(u) = u.vv2 v Here u = -i+5j+3kv = -i+j-3k…

Q: Find the curl of the vector field F = . curl F = i + 3+ k

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Q: Which of the following sets DA. B. -1 THE DC. vectors are linearly independent? TELBEL [BLETE] D. 8…

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Q: Sketch the vector field. F(z, y) = (- 2 2 2 0 2 -2 0 -2 2 -2 2 -2 -2 2 -2 4- -4 -3 -2 -1 2 3 -2 -3-…

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Q: 2. A vector field is specified as G = 24xy ā, + 12(x² + 2)ā, + 18z²ā,. Given two points, P(1, 2, -1)…

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Q: Let z = 2i and w=3-i. Locate the numbers 2z+w, z-3w vectorially.

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Q: Q2. ()- Work out a - 2b as a column vector.

A: Given

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: Sketch the vector field in the xy-plane. 7(7) = -7/11711³ O O y y X X O O y y X X

A: F→r→=-r→r→3

Q: a = 2xi +8zk а

A: Given to find the vector lines of the vector field  a →=2xi→+8zk→

Q: Calculate the curl of the vector = (2x + 3y)i + (y+z)j + (xy + 2zx)k

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Q: 9. Simplify each vector operation. a) j-(-)) ī b) (ixj).k 1 c) (ixj)xk ī

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Q: What is the component and projection of the vector Å x B into the vector N 0.87 + 0.6k , if the…

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Q: Compute the divergence and curl of each of the following vectors. а. у?i+ 2x?zj - хуzk b. xyzi +…

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