Question: Find a unit vector in the direction in which f increases most rapidly at P. f ( x, y, z) = Vxty+z P (1, 3,

Find a unit vector in the direction in which f increases

Find a unit vector in the direction in which f increases most rapidly at P. f ( x, y, z) = Vxty+z P (1, 3, 1) iV11 a) O 3 jV11 + kvi1 11 + 11 11 ivil b) 3 jV11 11 + kvi1 11 + 11 iV11 c) 3 jV11 + KV11 11 + 11 11 iVI1 d) O 3 jVII 11 + KVIT 11 + 11 2iVIT e) 6 jVIT 2kVIT 11 + 11 + 11 f) O None of these

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