The discussion focuses on determining if an arrow shot in the direction of the gradient <2,1,2> from the point (1,2,9) will intersect the point (5,4,13). The function f(x,y,z) = x^2 + y^2/4 + z^2/9 is used to calculate the gradient, which provides the directional vector for the arrow. By analyzing the trajectory defined by the gradient, it is established that the arrow will indeed hit the specified point.
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What does f have to do with the motion of the arrow?chaotixmonjuish said:If you are given a point (1,2,9), and a gradient <2,1,2>. How can you tell that if you show an arrow, it would hit the point (5,4,13). The arrow is being shot in the direction of the gradient.
where f(x,y,z)= x^2+y^2/4+z^2/9