Find Value of q for Unit Vector PQ: Homework Equation Solution

[Eryk]

Homework Statement

Given vector OP = 2i+3j, OQ = qi+2qj. How can i find the possible value for q?
note that PQ is a unit vector.

Homework Equations

Given (p-1)i + (2p-6)j having magnitude 10, find p

The Attempt at a Solution

From the formula, i was told that the unit vector can be obtain by dividing the vector by the modulus it self, however i have no idea how to apply that concept into 2 different vector, since the answer wasn`t correct when i tried them. please help me on this, thanks in advanced

 

[Mark44]

Homework Statement

Given vector OP = 2i+3j, OQ = qi+2qj. How can i find the possible value for q?
note that PQ is a unit vector.

Homework Equations

Given (p-1)i + (2p-6)j having magnitude 10, find p

The Attempt at a Solution

From the formula, i was told that the unit vector can be obtain by dividing the vector by the modulus it self, however i have no idea how to apply that concept into 2 different vector, since the answer wasn`t correct when i tried them. please help me on this, thanks in advanced

So what are the coordinates of PQ? You have OP and OQ, so you should be able to find PQ.

Once you have found PQ, figure out what q needs to be so that PQ is a unit vector.

This part -- Given (p-1)i + (2p-6)j having magnitude 10, find p -- is a separate problem, right? How you have presented these problems is confusing.

 

[Eryk]

-- Given (p-1)i + (2p-6)j having magnitude 10, find p --

it is actually hint given to me as how that i`m going to solve the q part, where it is also having two vector with one of it having p variable. i have no idea how it works either. as for the PQ, the question doesn`t state whether its P to Q or Q to P. so it is safe for me to take it as P to Q?

 

[Mark44]

PQ means from P to Q. If the question asked for the vector from Q to P, they would have specified QP.

 

[Eryk]

ok, thanks

 

[SammyS]

By the way, Eryk: Welcome to PF !

 

[Eryk]

By the way, Eryk: Welcome to PF !

Thanks :)