L1 :X-4=Y-8=Z+1L2 :X-16=Y-2=Z+1

2 3 -4 -6 1 2

A) show that L1 and L2 intersected

B) find parametric equation of the line that passes through the point of intersection of L1 and L2 IS perpandicular to both of them

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- Apr 12th 2008, 11:01 AMfastman390symmetric equation
L1 :

__X-4__=__Y-8__=__Z+1__L2 :__X-16__=__Y-2__=__Z+1__

2 3 -4 -6 1 2

A) show that L1 and L2 intersected

B) find parametric equation of the line that passes through the point of intersection of L1 and L2 IS perpandicular to both of them - Apr 12th 2008, 11:59 AMMathstud28Ok
- Apr 12th 2008, 12:10 PMearboth
Re-write the equation:

..... and .....

to #A) Solve the system of simultaneous equations:

..... which will yield

The point of intersection is

to #B: The direction vector of the line L3 is the crossproduct of the direction vectors of L1 and L2:

and therefore the parametric equation of L3 is: