• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

yelp (1 Viewer)

yanujw

Well-Known Member
Joined
May 23, 2020
Messages
339
Gender
Male
HSC
2022
i) The diagram shows that the 4 vectors enclose a quadrilateral, so the resultant is 0, therefore the sum of the vectors is 0.

ii) MN = (a + b/2) - (a/2)
MN = 1/2(a + b)

QP = (a + b + c/2) - (a + b + c - d/2)
= -1/2(c + d)

Now c + d = - (a + b) (using part i)
So MN = QP

Follow a similar argument to prove that NP = MQ, and then the proof is complete.
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top