Write the vector equation of a line passing through the point (1, -1, 2) and parallel to the line whose equations are
Given : A line
To find : vector equation of a line passing through the point (1, -1, 2) and parallel
to the line whose equations are
Formula used : If a line is parallel to = = and passing through the point (p,q,r) then vector equation of the line is given by = p + q + r + λ (l + m + n)
The given line is = =
Here p = 1 , q = -1 , c = 2 and l = 1 , m = 2 , n = 2
Substituting the above values,we get
= 1 - 1 + 2 + λ (1 + 2 + 2)
The vector equation of a line passing through the point (1, -1, 2) and
parallel to the line whose equations are is given by
= - + 2 + λ ( + 2 + 2)