I came across this question in test.
Given $A(0,0,1), B(2,1,2)$ be two points in 3-D space also P($\alpha ,\beta$) ($\alpha>0 ,\beta>0$) be a point on the xy-plane such that $\angle APB$ is maximum, then find $\alpha,\beta$
I tried ploting those points roughly in space and then tried to express the angle in terms of $\alpha,\beta$ but since its 3-D I am finding it hard to imagine there position.also the equations i got are too complicated (probably wrong) so i am not mentioning them here.
I wanted to know if there is a simplier method.
Welcome in advance!!
REGARDS!