Q. 135.0( 1 Vote )

Find the Vector a

Answer :

Given; the line passing through the point
(1, 2, –4) and perpendicular to the two lines
and


Let a, b, c be the direction ratios of the required line.


this line is perpendicular to the other two lines;


3a − 16b + 7c = 0 …… (i)


3a + 8b − 5c = 0 …… (ii)


By solving these equations;





As the line is to be passed through the point (1, 2, −4)


The Cartesian Equation of the required line is;



the required vector equation is given by;



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