- #1

makyol

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- 0

**f(x, y, z) = 0 f(x, y, z) = ...**

## Homework Statement

[PLAIN]http://www.netbookolik.com/wp-content/uploads/2010/07/q12.png [Broken]

## Homework Equations

## The Attempt at a Solution

Sorry have no idea:(

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- Thread starter makyol
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- #1

makyol

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- 0

[PLAIN]http://www.netbookolik.com/wp-content/uploads/2010/07/q12.png [Broken]

Sorry have no idea:(

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- #2

HallsofIvy

Science Advisor

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If a surface is given by f(x,y,z)= 0 (or any constant) we can think of it as a "level surface" so [itex]\nabla f= f_x\vec{i}+ f_y\vec{j}+ f_z\vec{k}[/itex] is normal to the surface. The tangent plane at [itex](x_0,y_0,z_0)[/itex] is of the form [itex]f_x(x_0,y_0,z_0)(x- x_0)+[/itex][itex] f_y(x_0,y_0,z_0)(y-y_0)+ f_z(x_0,y_0, z_0)(z- z_0)= 0[/itex].

For what [itex](x_0, y_0, z_0)[/itex] does (0, 0, 0) lie on that tangent plane?

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