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

AI Thread Summary
To find the value of q for the unit vector PQ, the coordinates of PQ must first be determined using vectors OP and OQ. The user is confused about how to apply the concept of unit vectors to two different vectors and is unsure if PQ should be considered from P to Q or vice versa. It is clarified that PQ is indeed from P to Q, and the magnitude of PQ must equal 1 for it to be a unit vector. The discussion also references a separate problem involving a different vector, which serves as a hint for solving the q problem. The overall focus remains on determining the correct value of q to ensure PQ is a unit vector.
Eryk
Messages
4
Reaction score
0

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
 
Physics news on Phys.org
Eryk said:

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.
 
Mark44 said:
-- 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?
 
PQ means from P to Q. If the question asked for the vector from Q to P, they would have specified QP.
 
ok, thanks
 
By the way, Eryk: Welcome to PF !
 
SammyS said:
By the way, Eryk: Welcome to PF !

Thanks :)
 

Similar threads

Writing vector and parametric equations for a line that....
Replies
5
Views
2K
Unit Vector Perp. to a: Solving Problem
Replies
2
Views
1K
Solving system of 3 quadratic equations
Replies
4
Views
2K
Finding the vector equation of a plane
Replies
1
Views
1K
Find the Composite Function of p & q: Relationship & Value of pq(39.72)
Replies
9
Views
2K
Unit Vectors as a Function of Time?
Replies
4
Views
3K
Vector equation of a plane in normal form
Replies
2
Views
2K
Vector dot product and parallel vectors
Replies
6
Views
4K
ZPQM is a parallelogram, express Vector OZ in terms of u and v
Replies
6
Views
2K
Finding distance of "P" from a plane OQR using vector
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top