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Find the direction cosines of the line w...

Find the direction cosines of the line which is perpendicular to the lines with direction ratios `4, 1, 3 and 2, -3, 1`.

A

`(1)/(sqrt(3)),(1)/(5sqrt(3)),(-7)/(5sqrt(3))`

B

`(5)/(sqrt(3)),(1)/(sqrt(3)),(7)/(5)`

C

`(2)/(sqrt(3)),(5)/(2sqrt(3)),(1)/(7sqrt(3))`

D

`(1)/(sqrt(3)),(2)/(sqrt(3)),(-1)/(sqrt(3))`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-THREE DIMENSIONAL GEOMETRY -Critical Thinking
  1. A line passes through the point (6, -7, -1) and (2, -3, 1). The direct...

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  2. If first two numbers of the direction cosines of a line joining points...

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  3. If the points (2,a,-1),(3,4,b)and(1,-2,3) are collinear, the values of...

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  4. If (1,a,1),(3,-1,2)and(1,a^(2),1) are collinear, then the values of a ...

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  5. Points (-2, 4, 7), (3, -6 -8) and (1, -2, -2) are

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  6. If the angle between the lines whose direction cosines are a,(-2)/(3),...

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  7. The acute angle between the lines having direction ratios 5,4,1 and -3...

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  8. Find the angle between the lines whose direction ratios are: 2,-3,4 ...

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  9. Let theta be the angle between the lines AB and AC, where A, B and C a...

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  10. The direction cosines l, m and n of two lines are connected by the rel...

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  11. Find the angle between the line whose direction cosines are given ...

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  12. The direction cosines of a line equally inclined to three mutually per...

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  13. Find the angle between any two diagonals of a cube.

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  14. The diection cosines of two lines are proportional to (2,3,-6) and (3,...

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  15. If the line joining the points (-2,1,-8) and (a, b, c) is parallel to ...

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  16. If A,B,C,D are (2,3,-1),(3,5,-3),(1,2,3),(3,5,7) respectively, then th...

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  17. Direction ratios of two lines are a ,b ,ca n d1//b c ,1//c a ,1//a ...

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  18. If the direction cosines of two lines are l(1), m(1), n(1) and l(2), m...

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  19. The direction cosines of a line perpendicular to lines whose direction...

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  20. Find the direction cosines of the line which is perpendicular to the l...

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