The line
is parallel to the vector
and passes through the point (
) and the line
is parallel to the vector
and passes through the point
. The shortest distance between the lines
and
is:
Text Solution
Verified by ExpertsA
The line
is parallel to the vector
and passes through the point
. The line
is parallel to the vector
and passes through the point
.
Equations of the Lines:
Equation of
:

Equation of
:

Shortest Distance Between
and
:
The formula for the shortest distance between two skew lines is given by:
Distance
Calculations:
Vector between the points:

Cross product of direction vectors:

Magnitude of the cross product:

Dot product:




Shortest Distance:

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