Answer :

Given : A vector


To find : vector equation of a line passing through the point (1, 2, 3) and parallel


to the vector


Formula used : If a line is parallel to the vector (l + m + n)


and passing through the point (p,q,r) then vector equation of the line is given by


= p + q + r + λ (l + m + n)


Here p = 1 , q = 2 , c = 3 and l = 3 , m = 2 , n = -2


Substituting the above values,we get


= 1 + 2 + 3 + λ (3 + 2 - 2)


The vector equation of a line passing through the point (1, 2, 3) and


parallel to the vector is = + 2 + 3 + λ (3 + 2 - 2)


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