Question
Find the vector and the cartesian equations of the line that passes through the points (3, – 2, – 5), (3, – 2, 6).
Solution
The line passes through the points A(3, 2, – 5) and B(3, –2, 6).
where
are position vectors of A, B respectively.
Let
be the position vector of any point on the given line.
∴ the vector equation of line is
or
Taking
the equation of line is
Comparing the coefficients of
or
which is cartesian equation of line.
where
are position vectors of A, B respectively.Let
be the position vector of any point on the given line. ∴ the vector equation of line is
or
Taking
the equation of line isComparing the coefficients of
or
which is cartesian equation of line.
