Show that the lines
r= 3iˆ + 2 jˆ – 4kˆ + λ( iˆ + 2 jˆ + 2kˆ ) ;
r= 5iˆ – 2 jˆ + μ(3iˆ + 2 jˆ + 6kˆ )
are intersecting. Hence find their point of intersection.

Question

Show that the lines r= 3iˆ + 2 jˆ – 4kˆ + λ( iˆ + 2 jˆ + 2kˆ ) ; r= 5iˆ – 2 jˆ + μ(3iˆ + 2 jˆ + 6kˆ ) are intersecting. Hence find their point of intersection.

Sourabh Singh · Answer

Solve both the lines for a constant. You will get set of 3 equations .Use any two to find the solution of those constants

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Show that the lines r= 3iˆ + 2 jˆ – 4kˆ + λ( iˆ + 2 jˆ + 2kˆ ) ; r= 5iˆ – 2 jˆ + μ(3iˆ + 2 jˆ + 6kˆ ) are intersecting. Hence find their point of intersection.

Show that the lines
r= 3iˆ + 2 jˆ – 4kˆ + λ( iˆ + 2 jˆ + 2kˆ ) ;
r= 5iˆ – 2 jˆ + μ(3iˆ + 2 jˆ + 6kˆ )
are intersecting. Hence find their point of intersection.

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Show that the lines r= 3iˆ + 2 jˆ – 4kˆ + λ( iˆ + 2 jˆ + 2kˆ ) ; r= 5iˆ – 2 jˆ + μ(3iˆ + 2 jˆ + 6kˆ ) are intersecting. Hence find their point of intersection.

Show that the lines r= 3iˆ + 2 jˆ – 4kˆ + λ( iˆ + 2 jˆ + 2kˆ ) ;r= 5iˆ – 2 jˆ + μ(3iˆ + 2 jˆ + 6kˆ )are intersecting. Hence find their point of intersection.

1 Answers

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Show that the lines
r= 3iˆ + 2 jˆ – 4kˆ + λ( iˆ + 2 jˆ + 2kˆ ) ;
r= 5iˆ – 2 jˆ + μ(3iˆ + 2 jˆ + 6kˆ )
are intersecting. Hence find their point of intersection.