Question
If the points (–1, 3, 2), (– 4, 2, –2) and (5, 5, λ) are collinear, then find the value of λ.
Solution
The equation of line through (–1,3, 2) and (– 4, 2, –2) is

or
...(1)
Since points (–1, 3, 2), (– 4, 2, –2) and (5, 5, λ) are collinear
∴ point (5, 5, λ) lies on (1)


or

Since points (–1, 3, 2), (– 4, 2, –2) and (5, 5, λ) are collinear
∴ point (5, 5, λ) lies on (1)
