The discussion revolves around finding the vector and parametric equations for a line that passes through two specified points in 3D space, specifically points P(-3, 3, -5) and Q(-7, 4, -1).
Some participants have offered guidance on approaching the problem by considering vector addition and the need for a direction vector. There is ongoing exploration of the concepts involved, with no explicit consensus reached yet.
Participants note a lack of familiarity with vector operations, which may be impacting their understanding of how to find the vector from P to Q. There is also mention of specific values given in the problem that are causing confusion.
Think of it in terms of adding vectors - one vector from the origin to a given point on the line, and another vector from the given point on the line to an arbitrary point on the line.somebodyelse5 said:Homework Statement
Find the vector and parametric equations for the line through the point P(-3, 3, -5) and the point Q(-7, 4, -1).
Homework Equations
N/A
The Attempt at a Solution
r= <__,__,-5>+t<__,__,4> The -5 and 4 are given.
Heres what I have so far. r=<-3,3-5>+t<__,__,__>
I am totally lost on how to find those other two points and the equations.
Mark44 said:Think of it in terms of adding vectors - one vector from the origin to a given point on the line, and another vector from the given point on the line to an arbitrary point on the line.
Your vector equation of the line will be r = OP + t*PQ
What you're missing is a vector that gives the direction of the line.
Mark44 said:How do you find the vector from P to Q? You don't multiply - that makes no sense at all.