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The direction cosines of x-axis are (A) ...

The direction cosines of x-axis are (A) 0,0,1 (B) 1,0,0 (C) 0,1,0 (D) 0,1,1

A

`lt 1, 0, 0 gt`

B

`lt 0,1,0 gt`

C

`lt 0,0,1 gt`

D

None of these.

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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -OBJECTIVE TYPE QUESTIONS (A. MULTIPLE CHOICE QUESTIONS)
  1. Direction-ratios of normal to plane which is parallel to the plane 3x ...

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  2. The relation between direction-cosines l, m and n of a line is :

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  3. The direction cosines of x-axis are (A) 0,0,1 (B) 1,0,0 (C) 0,1,0 (D) ...

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  4. What are the direction cosines of Z-axis?

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  5. If the line vec(r) = (-2 hati + 3 hatj + 4 hatk ) + lambda ( - hatk ha...

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  6. Distance between plane 3x + 4y - 20 = 0 and point (0,0,-7) is :

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  7. If a line makes an angle of pi/4 with each of Y and Z-axes , then the ...

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  8. If a line makes angles alpha,beta,gamma with the positive direction of...

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  9. If a line makes angles (pi)/(2), (3pi)/(4) and (pi)/(4) with x,y,z axi...

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  10. If direction-cosines of two lines are proportional to 4,3,2 and 1, -2,...

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  11. The direction consines of a line equally inclined with the co-ordinate...

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  12. The line (x-1)/2=(y-2)/4=(z-3)/4 meets the plane 2x+3y-z=14 in the poi...

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  13. Direction-ratios of line given by : (x -1)/(3) = (2y + 6)/(10) = (1...

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  14. Find the distance of the plane 3x\ \ 4y+12 z=3 from the origin.

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  15. Find the angle between the pair of lines (x+3)/3=(y-1)/5=(z+3)/4and (x...

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  16. If the lines (x -1)/(-3) = (x - 2)/(2k) = (z - 3)/(2) and (x - 1)/(3k...

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  17. The direction-cosines of te vector vec(a) = hati - hatj - 2 hatk are ...

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  18. The angle between the vector vec(r) = 4 hati + 8 hatj + hatk makes wit...

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  19. The length of perpendicular from the origin to the plane : vec(r). (...

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  20. The angle between the lines whose direction-ratios are : lt 2, 1 , ...

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