The coordinates of the vertices of triangle PQS are P(1,5) , Q(4,-1) and S(6,0).

(i) Write down the position vectors PQ and PS.
(ii) Determine the position vectors OG and OH given that G and H are the midpoints of PQ and PS respectively.
(iii) Determine the vectors GH and QS
(iv) Hence, stare two geometrical relationships between GH and GS.

Question

The coordinates of the vertices of triangle PQS are P(1,5) , Q(4,-1) and S(6,0).

(i) Write down the position vectors PQ and PS.
(ii) Determine the position vectors OG and OH given that G and H are the midpoints of PQ and PS respectively.
(iii) Determine the vectors GH and QS
(iv) Hence, stare two geometrical relationships between GH and GS.

anonymous · Answer

.... well XY = a vector from X to Y. .... what do you think PQ is ?

itiaax · Answer

A vector from P to Q