Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a coordinate plane.
a. (0,0), (6,3), (3,24)
b. (5,3), (8,6), (4,10)
.
a. The orthocenter is .
(Type an ordered pair. Simplify your answer.)
b. The orthocenter is.
(Type an ordered pair. Simplify your answer.)