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Find the gradient of the function given by, x^2 + y^2 + z^2 at (1,1,1)(a) i + j + k(b) 2i + 2j + 2k(c) 2xi + 2yj + 2zk(d) 4xi + 2yj + 4zkI had been asked this question during an interview.My question comes from Gradient topic in portion Vector Calculus of Electromagnetic Theory

Answer»

The CORRECT ANSWER is (b) 2i + 2j + 2k

To explain: Grad(x^2+y^2+z^2) = 2XI + 2yj + 2zk. Put x=1, y=1, z=1, the GRADIENT will be 2i + 2j + 2k.



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