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If alpha,beta, gamma are the direction a...

If `alpha,beta, gamma` are the direction angles of a vector and `cos alpha=(14)/(15), cos beta=(1)/(3)`, then `cos gamma=`

A

`pm(2)/(15)`

B

`(1)/(5)`

C

`pm(1)/(15)`

D

`(2)/(5)`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-THREE DIMENSIONAL GEOMETRY -Critical Thinking
  1. Which of the triplet can not represent direction cosines of a line ?

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  2. The valid direction angle triple of a line L is

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  3. If alpha,beta, gamma are the direction angles of a vector and cos alph...

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  4. A straight line which makes an angle of 60^@ with each of Y and Z-axis...

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  5. The direction consines of a line which lies in XZ-plane and making an ...

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  6. If a line makes angles of 30^(@) and 45^(@) with X-axis and Y-axis res...

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  7. Find the direction cosines of a vector vecr which is equally inclined ...

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  8. The sum of the direction cosines of a line which makes equal angles wi...

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  9. If a line makes angles alpha,beta,gamma with co-ordinate axes, then co...

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  10. If a line makes angles alpha , beta ,gamma with coordinate axes , th...

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  11. Show that no line in space can make angles (pi)/(6) and (pi)/(4) with ...

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  12. A line line makes the same angle theta with each of the x and z-axes....

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  13. The projections of a line on the co-ordinate axes are 4,6,12. The dire...

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  14. If P(x,y,z) is a point in space at a distance r from the origin O, the...

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  15. A line AB is inclined to OX at 45^(@) and to OY at 60^(@) and let P be...

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  16. The vector of magnitude 6 which is equally inclined to the co-ordinate...

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  17. If O is the origin, O P=3 with direction ratios -1,2,a n d-2, then fin...

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  18. Line with direction ratios 1, 1, 1 is

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  19. The angle made by the vector 3hati-4hatj+5hatk with the Z-axis is

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  20. A line passes through the point (6, -7, -1) and (2, -3, 1). The direct...

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