The non-collinear points

*A*,

*B*,

*C* have position vectors

**a**,

**b**,

**c** with respect to an origin

*O*, which is not in the plane

*ABC*. Show that the position vector of any point in the plane

*ABC* can be expressed in the form

http://cjc.asknlearn.com:443/DataBan...4/Picture1.gif
, where

http://cjc.asknlearn.com:443/Databan...5%3a28%3a51+PM,

http://cjc.asknlearn.com:443/Databan...5%3a29%3a03+PM,

http://cjc.asknlearn.com:443/Databan...5%3a29%3a13+PM are real numbers such that

http://cjc.asknlearn.com:443/Databan...5%3a29%3a37+PM.

I don't really know how to attempt this, i know the parametric form of a plane is r = a +

**λ**b +

**μ**c where

**λ,****μ **are real numbers and b and c are parallel to the plane