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Direction cosines of the line passing th...

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

A

`pm (1)/(sqrt(51)), pm (5)/(sqrt(51)), pm (1)/(sqrt(51))`

B

`pm (5)/(sqrt(51)), pm (1)/(sqrt(51)), pm (-5)/(sqrt(51))`

C

`pm 5, pm 1, pm 5`

D

`pm sqrt(51), pm sqrt(51), pm sqrt(51)`

Text Solution

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The correct Answer is:
B
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. A line passes through the point (3, 1,2) and (5,-1,1), find the direct...

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  2. Direction cosines of the line passing through the points A(-4, 2, 3) a...

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  3. Direction cosines of the line passing through the points A(-4, 2, 3) a...

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  4. If a line has the direction ratios 4, -12, 18, then its direction cos...

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  5. If a line has the direction ratios -1, 2, 3, then its direction cosin...

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  6. The direction cosines of a line whose direction ratios are 1, -2, 3 ar...

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  7. If |bar r|=9 and bar r is equally inclined to the co-ordinate axes, th...

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  8. If |baru|=3 and baru is equally inclined to the unit vectors hati, hat...

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  9. If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis...

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  10. If vector r wiith dc's l,m,n is equally inclined to the coordinate axe...

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  11. The number of lines which are equally inclined to the axes is :

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  12. The direction ratios of AB are -2,2,1. If A -= (4,1,5) and l(AB) = 6 u...

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  13. If the direction cosines of bar(AB) are (-2)/(sqrt(17)), (3)/(sqrt(17)...

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  14. If OP = 21 and direction cosines of bar(OP) are (2)/(7),(6)/(7), (-3)...

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  15. The ratio in which the line joining points (2, 4, 5) and (3, 5, -4) di...

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  16. XY-plane divides the line joining the points (2, 4, 5) and (-4, 3, -...

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  17. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

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  18. उस बिंदु के निर्देशांक ज्ञात कीजिए जहाँ बिंदुओं A(3, 4, 1 ) और B(...

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  19. The co-ordinate of the point in which the line joining the points (3, ...

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  20. The point which divides the line joining the points (2, 4, 5) and (3, ...

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