How to Find a Vector Passing Through Two Points with Equal Magnitude?

[AlchemistK]

Homework Statement

|Vp| = \sqrt{}3

Find a vector which is passing through (1,1,1) and (3,4,5) whose magnitude is equal to vector P.


I have started studying vectors, and know the vector algebra rules, thought i do not understand the use of coordinates in order to find the direction.



Thank you.

 

[Apphysicist]

Homework Statement

|Vp| = \sqrt{}3

Find a vector which is passing through (1,1,1) and (3,4,5) whose magnitude is equal to vector P.


I have started studying vectors, and know the vector algebra rules, thought i do not understand the use of coordinates in order to find the direction.


Thank you.

Certainly you can think of (1,1,1) as the start of your vector, then (3,4,5) as the end of your vector...thus subtraction yields a vector that passes through both points, just with a certain magnitude.

The magnitude of a vector is given as sqrt(x^2+y^2+z^2)...you can find that you won't get a magnitude of sqrt(3) right away...think of a way you can "scale" the vector to make it the right magnitude...

 

[AlchemistK]

Thanks. I figured out the answer and in fact it was quite easy, i just started thinking a lot ,the question being in three dimensions, and hence veered away from the actual solution.