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The direction cosines of the line drawn ...

The direction cosines of the line drawn from `P(-5,3,1)` to Q(1,5,-2) is

A

`lt 6,2 , -3 gt`

B

` lt 2, -4,1 gt`

C

`lt (2)/(sqrt21), (-4)/(sqrt21), (1)/(sqrt21) gt`

D

`lt (6)/(7), (2)/(7), - (3)/(7) gt`

Text Solution

Verified by Experts

The correct Answer is:
D
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-1
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  2. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2and (x-1)/(3k)=(y-1)/1=(z-6...

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  3. The vlaue (s) of lamda, for the triangle with vertices (6,10, 10),(1,...

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  4. If P, Q,R,S are the points (4,5,3) ,(6,3,4),(2,4,-1)and (0,5,1), the l...

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  5. The length of the perpendicular from P(1,0,2) on the line (x+1)/(3)=(y...

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  6. The pair of lines whose direction cosines are given by the equation...

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

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  10. A vector makes an angle of pi/4 with each of x-a xi s and y-a xi sd...

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  11. The direction cosines of a line equally inclined to the axes are:

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  12. If the direction cosines of a line are ((1)/(c ) , (1)/(c ), (1)/(c )...

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  13. The value of k so that (x-1)/(-3) = (y-2)/(2k) = (z-4)/(2) and (x-1)/...

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  14. If the points (5, 2, 4), (6, -1, 2) and (8, -7, k) are collinear, then...

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  15. The equation of straight line passing through the point (a,b,c) and p...

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  16. If l(1), m(1), n(1) and l(2),m(2),n(2) are the direction cosines of tw...

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  17. The line whose vector equation are vecr =2 hati - 3 hatj + 7 hatk + la...

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  18. A vector vecr is equally inclined with the coordinates axes. If the ti...

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  19. The angle between the lines x=1, y=2 and y=-1, z=0 is

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  20. The ratio in which the line joining the points (a , b , c)a n d\ (-a ,...

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