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Del - Operator -I Starter Quiz

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Question 1

The directional directive of 4x2y + z3 at (1, 2, 1) in the direction of is

Question 2

The vector function represented by F = ax(5y – k1z) + ay (3z + k2x) + az (k3y – 4x) represents a conservative field, where ax, ay & az represents unit vectors along the x, y, & z-axis respectively. Find the values of k1, k2 & k3 = ?

Question 3

The divergence of the vector field at (1,1,1) is

Question 4

Divergence of the vector field

Question 5

The curl of vector field (x, y, z) = x2 + 2z – y is:

Question 6

For a scalar function F(x,y,z,) = x2 + 3y2 + 2z2, the gradient at the point P (3,2,1) is
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Jul 22ESE & GATE EC