The point A(24,6,0), B(30,12,12), C(18,6,36) are refered to cartesian axes, origin O.

(a) Find a vector equation for the line passing through the points A and B. (easy done)

The pint P lieso n the line passing though A and B

(b)show that CP (with an arrow on top going from c to p) can be expressed as

(6+t)i+tj+(2t-36)k where t is a parameter

In the end i got the answer but not sure how i got there.

(c) Given that CP is perpendicular to AB, find the coordinates of P.

I generally struggle on this type of questions i.e. where u have to find a point on the line. so i cannot do it.

(d) Hence, or otherwise, find the area of the triangle ABC, giving your answer to 3 significant figures. No idea hotw to tackle it.

i just edited my answers

i hope i got the angle right though..

hehehe

go check out for the answers above there

and yes i think i just used the second part