Q. 11

# The Cartesian equations of a line are Find its vector equation.

Given : A line To find : vector equation of a line Formula used : If a line is given by = = = λ then vector equation of the line is given by = a + b + c + λ (l + m + n )

The given line is = = Here a = 1 , b = -2 , c = 5 and l = 2 , m = 3 , n = -1

Substituting the above values,we get = 1 - 2 + 5 + λ (2 + 3 - 1 )

The vector equation of a line is given by = 1 - 2 + 5 + λ (2 + 3 - 1 )

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