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If the direction ratios of two lines are...

If the direction ratios of two lines are (5,-12,13) and (-3,4,5) then the angle between them is

A

`(cos^(-1))(1/65)`

B

`(cos^(-1))(2/65)`

C

`(cos^(-1))(3/65)`

D

`pi/2`

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  2. A line makes acute alpha, beta and gamma with the coordinate axes such...

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  3. If the direction ratios of two lines are (5,-12,13) and (-3,4,5) then ...

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  4. Verify that the points ( 0,7,10 ) , ( -1,6,6) and ( -4,9, 6) are the ...

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  5. The coordinates of the foot of the perpendicular from the point (2,3) ...

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  6. A line which makes angle 60^(o) with y -axis and z-axis, then the angl...

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  7. The points (5,-4,2),(4,-3,1),(7,-6,4),(8,-7,5) are vertices of a:

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  8. The line (x-2)/(3) = (y-3)/(4) = (z-4)/(5) is parallel to the plane

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  9. The point equidistant from (a, 0, 0), (0, a, 0), (0, 0, a) and (0, 0, ...

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  10. The line joining the points (3,5,-7) and (-2,1,8) meets the yz -plane ...

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  11. If the coordinates of the vertices of a triangle ABC be A(-1,3,2), B(2...

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  12. The equation of the plane in which the lines (x-5)/4 = (y-7)/4 = (z+3)...

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  13. If P be the point (2,6,3) then the equation of the plane through P at ...

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  14. The plane x/2+y/3+z/4 = 1 cuts the axes A, B, C then the area of the t...

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  15. The intercepts of the plane 5x-3y+6z = 60 on the co-ordinate axes are

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  16. Equation of x-axis is

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  17. The angle between the line x/2 = y/3 = z/4 and the plane 3x+2y-3z = 4 ...

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  18. The equation of a line of intersection of planes 4x+4y-5z=12 and 8x+12...

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  19. The equation of the plane which makes with coordinate axes a triangle ...

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  20. A variable plane moves, so that the sum of the reciprocals of its inte...

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