Using vector method, prove that the altitudes of a triangle are concurrent.

Show that the altitudes of a triangle are concurrent

Prove that the medians of a triangle are concurrent.

Show, by vector methods, that the angularbisectors of a triangle are concurrent and find an expression for the position vector of the point of concurrency in terms of the position vectors of the vertices.

Prove using vectors: Medians of a triangle are concurrent.

Using vector method, prove that the angel in a semi circle is a right angle.

Using vector method, prove that the line segments joining the mid-points of the adjacent sides of a quadrilateral taken in order form a parallelogram.

Using vector method, prove that the following points are collinear: A(-3,-2-5),B(1,2,3)and C(3,4,7)

Using vector method, prove that the following points are collinear: A(1,2,7) B(2,6,3) C(3,10,-1)

Using vector method, prove that the following points are collinear: A(2,-1,3) B(4,3,1) C(3,1,2)

Using vector method, prove that the following points are collinear: A(6,-7,-1) B(2,-3,1) C(4,-5,0)