Tim Gan Math
Sign up free

Diagonals of a parallelogram

Diagonals of a parallelogram

5 marks
TGM Original
In parallelogram OABC, vertices occur in that order, with OA= a and OC= c. Use position vectors to prove that the diagonals OB and AC bisect each other.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create free accountSign inMath tuition

Create a free account to practise similar questions.

Create free accountSign inMath tuition
Answer:The diagonals have the same midpoint, with position vector \(\frac12(\mathbf a+\mathbf c)\).

Need help? Join our JC Math tuition classes.

Learn more