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GCSE maths question - Vectors

I have came across a maths question on a maths past paper and I wondered if anyone could help. It is on vectors.



Thank you.
Reply 1
Avatar for Smaug123
Smaug123
15
Well, what is OC in terms of the other vectors which are floating around? It will help you to represent AC in terms of a and b.
Reply 2
Avatar for aznkid66
aznkid66
1
Original post by Decerto
I have came across a maths question on a maths past paper and I wondered if anyone could help. It is on vectors.



Thank you.


Vector algebra states that if you have two vectors, for example XY and YZ, then XZ=XY+YZ, where "addition" is the same as placing the vectors from tip to tail.

By the same vein of reasoning, what two other vectors can you split vector OC into?
Reply 3
Avatar for Decerto
Decerto
OP
15
Original post by aznkid66
Vector algebra states that if you have two vectors, for example XY and YZ, then XZ=XY+YZ, where "addition" is the same as placing the vectors from tip to tail.

By the same vein of reasoning, what two other vectors can you split vector OC into?


OA and AC?
Reply 4
Avatar for Decerto
Decerto
OP
15
Bump!

Sorry, I just want to get this sorted so I can move onto some other papers.
Reply 5
Avatar for TenOfThem
TenOfThem
18
AB = AO + OB

AC = tAB

OC = OA + AC

Which part is causing a problem?
(edited 10 years ago)
Reply 6
Avatar for Phichi
Phichi
11
Original post by TenOfThem

OC = OA + AB


tAB I think that is
Reply 7
Avatar for TenOfThem
TenOfThem
18
Original post by Phichi
tAB I think that is


AC actually :smile:
Reply 8
Avatar for Phichi
Phichi
11
Original post by TenOfThem
AC actually :smile:


cheeky :3
Reply 9
Avatar for Decerto
Decerto
OP
15
Original post by TenOfThem
AB = AO + OB

AC = tAB

OC = OA + AC

Which part is causing a problem?


Is says the answers are: for p, 1 - t.
for q, t.

I don't understand how they got these answers?
(edited 10 years ago)
Reply 10
Avatar for Phichi
Phichi
11
Original post by Decerto
Is says the answers are: for p, 1 - t.
for q, t.

I don't understand how they got these answers?


find start by showing what OC is... OC = a + t(b-a) then just separate the a and b terms. Hence a - at is the a section. In the form pa, hence factorise a out of the a terms - a(1-t). Get it?

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