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The direction cosines of the line joinin...

The direction cosines of the line joining the points (-2, 4, -5) and (1, 2, 3) is :

A

`lt(-2)/(sqrt(77)),(8)/(sqrt(77)),(3)/sqrt(77)gt`

B

`lt-3,2,8gt`

C

`lt(3)/(sqrt(77)),(-2)/(sqrt(77)),(8)/(sqrt(77))gt`

D

`lt3,-2,8gt`

Text Solution

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The correct Answer is:
D
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BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE
  1. The direction cosines of the line joining the points (-2, 4, -5) and (...

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  2. Find the length of perpendicular drawn from the point (3,4,5) on the l...

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  3. Find the length of perpendicular from the point (5,8,1) on the line ...

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  4. Find the length of perpendicular from the point (5,4,-1) on the line (...

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  5. Find the shortest distance between the following lines vec(r)=hat(i)...

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  6. Find the shortest distance between the following lines vec(r)=hat(i)...

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  7. Find the shortest distance between the following lines vec(r)=hat(i)...

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  8. Find the shortest distance between the following lines vec(r)=-hat(i...

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  9. Find the shortest distance between the following lines vec(r)=hat(i)...

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  10. Find the equation of the plane containing the line (x+3)/(2)=(y-2)/(-1...

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  11. Find the equation of the plane through the point (1,1,1) and perpendic...

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  12. Determine whether the lines vec(r)=3hat(i)-hat(j)+lamda(3hat(i)+hat(...

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  13. Find the equation of the plane passing through the points (0,-1,1),(4,...

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  14. Find the equation of the plane passing through the point (1,1,0),(1,2,...

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  15. Find the angle between the following pairs of lines x/2=y/2=z/1 and (x...

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  16. vec(r)=(1-t)hat(i)+(t-2)hat(j)-(3-2t)hat(k) and vec(r)=(1-t)hat(i)(t-...

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  17. Find the angle between these two lines (x+2)/(1)=(y-1)/(-2)=(z-1)/(1) ...

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  18. Find the vector equation of the plane which is at a distance of 7 unit...

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  19. Find the equation of the plane through intersection of the planes : ...

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  20. Find the equation of the plane passing through the points (1,2,-1),(...

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  21. Find the equation of the plane passing through the points (1,1,0),(1...

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