Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Vector help please

Could someone please find this vector for me and give me step by step instructions on how to do it?

Image is enclosed

Vector.JPG266.4KB

friaca

Could someone please find this vector for me and give me step by step instructions on how to do it?

Image is enclosed

Can you find Ac in terms of a and c

OP

rbnphlp

Can you find Ac in terms of a and c

I'm quite clueless on vectors so I don't think so lol.

friaca

I'm quite clueless on vectors so I don't think so lol.

to find AC draw a arrow from A to C

Spoiler

OP

rbnphlp

to find AC draw a arrow from A to C

Spoiler

-6a + 6c

What next to find OP?

friaca

-6a + 6c

What next to find OP?

so if AC=-6a+6c, what is AP and PC
given that AP=2/3AC

OP

rbnphlp

so if AC=-6a+6c, what is AP and PC
given that AP=2/3AC

AP = -4a + 4c
PC = -2a + 2c?

if you found AP or Pc can you see then how to find Op?

Spoiler

OP

rbnphlp

if you found AP or Pc can you see then how to find Op?

Spoiler

So would it be -6a + -4a + 2c? And so -2a + 2c?

friaca

So would it be -6a + -4a + 2c? And so -2a + 2c?

to find op draw an arrow from o to p
Op=OA+AP
which 6a-4a+4c

Ok don't know if this is right, but I make it 4c + 2a
OP = 6c + CP
CP = 1/3 CA
1/3 CA = 1/3(6a - 6c) = 2a - 2c
therefore OP = 6c + CP = 6c -2c +2a = 4c +2a

OP

rbnphlp

to find op draw an arrow from o to p
Op=OA+AP
which 6a-4a+4c

Ah, now I get it :smile:

:smile:

Thanks a lot.

The next question is 'the midpoint of CB is M, prove that OPM is a straight line.' How would I go about this?

friaca

Ah, now I get it :smile:

:smile:

Thanks a lot.

The next question is 'the midpoint of CB is M, prove that OPM is a straight line.' How would I go about this?

There are various ways of doing this, but the simplist would be to show that OP and OM are parallel, and that they have a point in common.

The last bit is obvious (O). For the first bit you will need to work out OP and OM and show that one is a scalar multiple of the other.

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