A player stands with his feet at the point O and serves the ball from a point Y at
a height of 2.4000m vertically above O. Assume that the ball then travels in a
straight line directly over the net at the midpoint A, which is at a height of
0.9144 m, before bouncing at the point X.
Determine the position vector of any point on the line Y A, and hence find
the position vector of the point X. Deduce that the ball cannot land in the
shaded area of the court.
Excuse my lack of vector notation, i,j and k should be in bold :)
The Attempt at a Solution
[tex]t=(1-s)(0i, 0j, 2.4k) + s(11.8872i, 4.1148j, 0.9144k)[/tex]
[tex]t=11.8872si + 4.1148sj + (2.4 - 1.4856s)k[/tex]
I know I have to rearrange somehow and find i and j when k = 0, but thats about it.
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