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ConceptDirection Cosines and Direction Ratios of a Line

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#### Question

Find the direction cosines of the line perpendicular to the lines whose direction ratios are -2, 1,-1 and -3, - 4, 1

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Write the direction ratios of the following line :

`x = −3, (y−4)/3 =( 2 −z)/1`

Which of the following represents direction cosines of the line :

(a)`0,1/sqrt2,1/2`

(b)`0,-sqrt3/2,1/sqrt2`

(c)`0,sqrt3/2,1/2`

(d)`1/2,1/2,1/2`

Find the direction cosines of the line

`(x=2)/2=(2y-5)/3; z=-1`

Direction cosines of the line passing through the points A (- 4, 2, 3) and B (1, 3, -2) are.........

(a) `+-1/sqrt51,+-5/sqrt51,+-1/sqrt51`

(b) `+-5/sqrt51,+-5/sqrt51,+-5/sqrt51`

(c) `+-sqrt5,+-1,+-5`

(d) `+-sqrt51,+-sqrt51+-sqrt51`

Solution for question: Find the Direction Cosines of the Line Perpendicular to the Lines Whose Direction Ratios Are -2, 1,-1 and -3, - 4, 1 concept: Direction Cosines and Direction Ratios of a Line. For the courses 12th HSC Arts, 12th HSC Science (Computer Science), 12th HSC Science (Electronics), 12th HSC Science (General)