Q. 85.0( 1 Vote )

Write the vector equation of a line passing through the point (1, -1, 2) and parallel to the line whose equations are

Answer :

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)


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