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Help me solve a vector task

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sky_tm

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vectors

\[z = 3x^2 - 2xy + x^2 y = 2\]

i) find the vectorswhich is normal to curve at (1,1)

ii) write down a unit vector d along the line y=x and directed at the positive x direction.

iii) Find the rate of change of z in the direction of d.
 

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