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Distance of the plane vec r . (2/7 i + 3...

Distance of the plane `vec r . (2/7 i + 3/7 j + 6/7 k ) = 1` from the origin is

A

1)1

B

2)7

C

3)4

D

4)none of these

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The correct Answer is:
A
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Distance of the point (alpha, beta, gamma) from the y-axis is

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  2. If the direction cosines of a line are k,k,k then

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  3. Distance of the plane vec r . (2/7 i + 3/7 j + 6/7 k ) = 1 from the or...

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  4. The sine of the angle between the straight the (x-2)/(3)=(3-y)/(-4)=(z...

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  5. Reflection of the point (alpha, beta, gamma) in XY plane is

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  6. The area of the quadrilateral ABCD, where A (0, 4, 1), B (2, 3, - 1), ...

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  7. The locus represented by xy+yz=0 is

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  8. The plane 2x-3y+6z-11=0 makes an angle sin^(-1)(alpha) with X - axis. ...

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  9. A line with direction cosines proportional to 2,1,2 meets each of the ...

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  10. A line makes some angle theta, with each of the x and z-axis. If the a...

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  11. Distance between two parallel planes: 2x + y + 2z = 8 and 4x + 2y + 4z...

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  12. The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and t...

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  13. If the angle theta between the (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2...

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  14. The angle between the lines 2x = 3y = - z and 6x =-y = 04z is

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  15. The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

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  16. The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular ...

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  17. A variable plane is at a constant distance k from the origin and meets...

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  18. If P = (0,1,2) and Q = (4,-2,1), O = (0,0,0) then P hat O Q =

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  19. If a line makes angles pi/3 and pi/4 with the x-axis and y-axis respec...

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  20. The foot of the perpendicular from (0,0,0) to the plane is (1,2,2). Th...

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