How to show two lines intersect in a vector question.

[hanosh]

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

 

[Mark44]

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?

 

[hanosh]

no they have not given me the value of a or b

 

[Mark44]

Well, no, of course not. That's your job to find them.