Aerospace Engineering > GATE 2010 > Multivariable Calculus
In a certain region a hill is described by the shape z(x,y)=1/50x4+y2-xy-3y
and y are in the horizontal plane and axis z points vertically upward. If î ĵ and &kcirc; unit vectors
along x, y and z, respectively, then at the point x=5, y=10 the unit vector in the direction of the
steepest slope of the hill will be:
A
î
B
ĵ
C
&kcirc;
D
î+ĵ+&kcirc;

Correct : a

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GATE Aerospace Engineering 2010 GATE Aerospace 2010 Q35 steepest slope of the hill gradient vector calculus unit vector steepest slope direction of maximum slope vector calculus GATE

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