Vector area of a triangle

[list][*]Point A has position vector 8i+13j-2k [/*][*]Point B has position vector 10i+14j-4k [/*][*]Point C has position vector 9i+9j+6k [br][br][/*][*]The line l passes through the points A and B [/*][*]The point X lies on l, where CX is the shortest distance between C and l [br][br][/*][*]Find the area of the triangle CXB, giving your answer to 3 significant figures. [br](Bonus points for an exact answer.)[/*][/list][br][br]

Information: Vector area of a triangle