Question
Find a vector equation of the line through the points A (3, 4, – 7) and B (1, – 1, 6).
Solution
The line passes through the points A (3, 4, – 7), B (1, – 1, 6)
where
are position vectors of A and B respectively.
Let
be the position vector of any point on the given line.
∴ the vector equation of the line is
or
where λ is a parameter.
where
are position vectors of A and B respectively. Let
be the position vector of any point on the given line. ∴ the vector equation of the line is
or
where λ is a parameter.
