Finding 4 Vectors in the Same Plane & Direction

[karawan]

If i given a terminal and initial points of a vector in x,y,z positive plane . how to find three other vectors in the same plane having the same magnitude and the same direction and the same slope ?

 

[Sethric]

Imagine what that vector looks like in 3-space. What would the coordinates of the vector's initial and terminal points be if you shifted it over 1 in the x-direction? The y-direction? What would the magnitude and direction of such a vector be?

 

[karawan]

thank you sethric for reply, but can not i calculate those vectors without drawing ?

 

[olivermsun]

Are you given the plane separately from the vector?

 

[karawan]

the question gives just the initial and terminals points of the vector , nothing else. and thank you for reply.

 

[LCKurtz]

If i given a terminal and initial points of a vector in x,y,z positive plane . how to find three other vectors in the same plane having the same magnitude and the same direction and the same slope ?

I don't know what you mean by the "xyz positive plane". A vector doesn't determine a plane.

If what you want is just another vector having the same length and direction as the one from P to Q, just pick any (p,q,r) and add its coordinates to P's and Q's coordinates to get P' and Q'. Then the vector P'Q' will work.

 

[karawan]

thank you very much LCKurtz.