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Question

Mathematics Question on Vector space

If F=(x+2y+az)i^+(bx3yz)j^+(4x+cy+2z)k^\vec{F} = (x+2y+az)\hat{i} + (bx −3y-z)\hat{j}+(4x+cy+2z)\hat{k} is irrotational, where a, b and c are constant, then a2 + b2 + c2 is equal to :

A

5

B

7

C

19

D

21

Answer

21

Explanation

Solution

The correct option is(D):21.