Q. 34.7( 3 Votes )

If the cartesian equations of a line are write the vector equation for the line.[CBSE 2014]

Answer :

Vector equation for the line is given by


Where is the point on line and is the direction of lithe ne and λ is any constant


Given the cartesian form of a line





Comparing with a standard cartesian form of the equation


Where the point on line is (a1, a2, a3) and (b1, b2, b3) is direction of the line


(a1, a2, a3) = (3, -4, 3) and (b1, b2, b3) = (-5, 7, 2)


Hence and


The vector equation of the line is .

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