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The acute angle between the lines whose ...

The acute angle between the lines whose direction cosines are proportional to 3,-1,2 and 2,1,-3 is

A

`(cos^(-1))2/sqrt(14)`

B

`(cos^(-1))-1/(14)`

C

`(cos^(-1))sqrt3/sqrt(14)`

D

`(cos^(-1))3/sqrt(14)`

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  2. The points (6,-1,2),(5,2,4) and (8,-7,k) are collinear, then k =

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  3. The acute angle between the lines whose direction cosines are proporti...

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  4. l=m=n=1 represent direction cosines of

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  5. If a line lies in the octant O X Y Z and it makes equal angles with th...

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  6. The direction cosines of the line joining (4,3,-5) and (-2,1,-8) are

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  7. The coordinates of the point P=(3,4,5), then the direction cosines of ...

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  8. A vector vec ris inclined at equal angles to O X, OY and OZ. If the ma...

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  9. The direction cosines of a normal to the yz-plane are

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  10. If (1/3,1/4,k) are the direction cosines of a line then the value of k...

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  11. The direction ratios of vec PQ are 1,2,2 and P(2,-1,4). If |vec PQ| = ...

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  12. If the direction cosines of two lines are proportional to 2,3,-6 and 3...

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  13. A line making anlges 45^(@) and 60^(@) with the positive direction o...

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  14. The distance of the point (4,3,5) from the y-axis is

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  15. The distance of the point A(2,3,4) from z-axis is

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  16. Coordinates of the foot of the perpendicular from the point (3,4,7) on...

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  17. If the points (7,-2) , (5,1) and (3,5) are collinear. Find the value o...

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  18. The points A (4,5,1), B (0,-1,-1), C(3,9,4) and D(-4,4,4) are

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  19. The direction cosines l, m, n of two lines are connected by the relati...

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  20. The ratio in which the line joining points (2, 4, 5), (3,5,- 4) is div...

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