Given that a=3i-2j, b=3i+j and c=-6i+j, express pa-qb in terms of p,q,i and j. Hence, find the value of p and of q if pa-qb is equal to the unit vector along the straight line 4x+3y=12

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- May 14th 2013, 06:51 AMTrefoil2727Vector..
Given that a=3i-2j, b=3i+j and c=-6i+j, express pa-qb in terms of p,q,i and j. Hence, find the value of p and of q if pa-qb is equal to the unit vector along the straight line 4x+3y=12

- May 14th 2013, 07:08 AMPlatoRe: Vector..
- May 17th 2013, 12:13 AMTrefoil2727Re: Vector..
well, I have to admit that I don't know how to solve it..

- May 17th 2013, 12:22 AMMINOANMANRe: Vector..
Trefoil it is simple...

what pa means?

what qb means?

multiplicationnnnn..........so as Plato suggests........ just do itttttttttttttttttttttt .

then we can help you for the last part... - May 17th 2013, 09:10 AMHallsofIvyRe: Vector..
You are told exactly what to do: you are given pa+ qb and you are told that a= 3i-2j, b=3i+j. It's just integer arithmetic.

- May 31st 2013, 12:08 AMmillakinrossRe: Vector..
this interesting

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bachelor party | bucks nights - Jun 8th 2013, 04:07 AMjacobpittRe: Vector..
Really good one question and i don't solve this question and if you know the answer just share with me.

- Jun 8th 2013, 06:13 AMHallsofIvyRe: Vector..Quote:

Given that a=3i-2j, b=3i+j and c=-6i+j, express pa-qb in terms of p,q,i and j. Hence, find the value of p and of q if pa-qb is equal to the unit vector along the straight line 4x+3y=12

A vector pointing along the straight line 4x+ 3y= 12 is 4i+ 3j which has length so a unit vector in that direction is (4/5)i+ (3/5)j

We have (3p- 3q)i- (2p+ q)j= (4/5)i+ (3/5)j so solve 3p- 3q= 4/5 and -2p- q= 3/5 for p and q.