Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

atjari

  • 2 years ago

Please someone help me to do the second part of the question below. If O is any point within triangle ABC and P, Q, R are midpoints of the sides AB, BC, CA respectively. i)Prove that vectorOA+vectorOB+vectorOC=vectorOP+vectorOQ+vectorOR ii)Does the result hold if O is any point outside the triangle? Prove your result.

  • This Question is Closed
  1. shaan_iitk
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Assume O to be the center ... now you have OP + OQ + OR = (OC + CP) + (OA + AQ) + (OB + BR) .. Vector addition Hence = (OC+ OA + OB) + (CP + AQ + BR) = (OC + OA + OB) + 0.5*(CB + AC + BA) Now CB + AC+ BA = 0 (it forms a triangle). Hence = OC + OA + OB.. hence proved 2) Just workout the same equation from outside the triangle to find...

  2. atjari
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you mean that there is no difference even the point is outside the triangle.

  3. atjari
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Shaan pls help

  4. shaan_iitk
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yes it won't make any difference..

  5. atjari
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanx a lot.

  6. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.