Find the gradient of a function V if V= xyz. – McqOptions

MCQOPTIONS

1.	Find the gradient of a function V if V= xyz.
A.	yz a<sub>x</sub> + xz a<sub>y</sub> + xy a<sub>z</sub>
B.	yz a<sub>x</sub> + xy a<sub>y</sub> + xz a<sub>z</sub>
C.	yx a<sub>x</sub> + yz a<sub>y</sub> + zx a<sub>z</sub>
D.	xyz a<sub>x</sub> + xy a<sub>y</sub> + yz a<sub>z</sub>
Answer» B. yz a<sub>x</sub> + xy a<sub>y</sub> + xz a<sub>z</sub>

Discussion

No Comment Found

Related MCQs

Find a unit vector normal to the surface of the ellipsoid at (2,2,1) if the ellipsoid is defined as f(x,y,z) = x2 + y2 + z2 10.
State whether the given equation is a conservative vector.G = (x3y) ax + xy3 ay
Let F = (xy2) ax + yx2 ay, F is a not a conservative vector.
Electric field E can be written as _________
If W = xy + yz + z, find directional derivative of W at (1,-2,0) in the direction towards the point (3,6,9).
If W = x2 y2 + xz, the directional derivative ( frac{dW}{dl} ) in the direction 3 ax + 4 ay + 6 az at (1,2,0).
Find gradient of B if B = r if X is in spherical coordinates.
Find gradient of B if B = ln(r) + r2 if B is in spherical coordinates.
Find the gradient of A if A = 2 + z3 + cos( ) + z and A is in cylindrical coordinates.
Find the gradient of the function W if W = zcos( ) if W is in cylindrical coordinates.