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Home  Vector Calculus Directional Derivatives and Gradients Examples Example 3 |
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Example 3
A ball is placed at rest on the surface z = 2x2 - 3y2 at the point (2, 1, 5) (Figure 13.1.7). Which direction will the ball roll? The ball will roll in direction of steepest descent, given by -grad z.
Figure 13.1.7 The unit vector in this direction is
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Last Update: 2006-11-15