How to show two lines intersect in a vector question.

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Homework Help Overview

The discussion revolves around a problem in vector geometry involving two lines represented by parametric equations. The original poster seeks assistance in demonstrating that the lines intersect and in determining the position vector of their intersection point.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the conditions under which the two lines might intersect, particularly focusing on the scalar parameters a and b. Questions are raised about whether specific values for a and b exist that would yield the same position vector for both lines.

Discussion Status

The conversation is ongoing, with participants questioning the absence of values for a and b, and the original poster expressing uncertainty about how to proceed. There is a suggestion that finding these values is essential to solving the problem.

Contextual Notes

It is noted that the problem does not provide specific values for the parameters a and b, which may impact the ability to demonstrate the intersection of the lines.

hanosh
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This is a question I am stuck on and id really like some help pleasezzz !


Two straight lines are given by the equations:

R= 17i -9j+9k +a (3i+j+5k)
R=15i - 8j - k + b (4i + 3j )

where a and b are scalar parameters.Show that these lines intersect and find the postion vector of their point of intersection.


The attempt at a solution
 
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hanosh said:
This is a question I am stuck on and id really like some help pleasezzz !


Two straight lines are given by the equations:

R= 17i -9j+9k +a (3i+j+5k)
R=15i - 8j - k + b (4i + 3j )

where a and b are scalar parameters.Show that these lines intersect and find the postion vector of their point of intersection.


The attempt at a solution
What have you tried? Are there values for a and b where your two equations for R give the same value?
 
no they have not given me the value of a or b
 
Well, no, of course not. That's your job to find them.
 

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