292. Find the gradient of the function given by, x2 + y2 + z2 at (1,1,1) a) i + j + k b) 2i + 2j + 2k c) 2xi + 2yj + 2zk d) 4xi + 2yj + 4zk
292. Find the gradient of the function given by, x2 + y2 + z2 at (1,1,1) a) i + j + k b) 2i + 2j + 2k c) 2xi + 2yj + 2zk d) 4xi + 2yj + 4zk
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Answer: b
Explanation: Grad(x2+y2+z2
) = 2xi + 2yj + 2zk. Put x=1, y=1, z=1, the gradient will be 2i +
2j + 2k.