2.VECTOR CALCULUS note: i believe the answers are a) a=4, b=-3, c=5 b) 32 c)23 P

Question

2.VECTOR CALCULUS

note: i believe the answers are

a) a=4, b=-3, c=5

b) 32

c)23

Please provide solutions with these answers, thanks.

Consider the vector field F = (-4x - 3y + az) I + (bx + 3y + 5z) J + (4x + cy + 3z) k, where a, b, c are real constants. Find the values of a, b, c such that F middot dr = 0, for any closed curve C. Using the values of a, b, c found in part (a), calculate F middot dr where C is any curve joining the points p = (0, 0, 0) and Q = (1, 2, 2). If a = b = 0 and c = 1, calculate the work done by F along the straight line segment joining P and Q.

Explanation / Answer

Hi, here is the answer. I had solved this one a while back and posted it online on the below link.

http://imgur.com/8JwMLwu

Needless to say, the answers match perfectly :)

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