यदि r स्थिति सदिश (position vector) है और a, b अचर सदिश (constant vectors) हैं, तो निम्नलिखित में से कौन सी सर्वसमिका (identity) सत्य नहीं है?

If A = rnr, where r is the position vector, then ∇ · A is equal to:

Let vector F = 2xz î + 2x ĵ - y2 k̂. The value of the triple integral ∭V vector F dv, where V is the region bounded by x = 0, y = 0, x = 3, y = 8 and x2 ≤ z ≤ 6, is:

Find the directional derivative of φ(x,y,z) = 4xz3 - 3x2y2z at the point (2, -1, 2) in the direction of the vector 2i - 3j + 6k.