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The normal unit vector of the plane x-3y...

The normal unit vector of the plane x-3y + 2z = 6 is ............

A

`(1,-3,2)`

B

`(1/6,1/2,1/3)`

C

`((-1)/(sqrt(14)),(3)/(sqrt(14)),(-2)/(sqrt(14)))`

D

`((1)/(sqrt(14)),(3)/(sqrt(14)),(2)/(sqrt(14))`

Text Solution

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The correct Answer is:
C
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Distance between the two planes 2x-2y+z = 5 and 6x-6y+3z = 25 is .............. Units.

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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The line passing through point (2,-3,1) and (3,-4,-5) intersect the ZX...

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  2. The angle between the line (x-1)/(1) = (2-y)/(1) = (z+1)/(1) and the p...

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  3. The normal unit vector of the plane x-3y + 2z = 6 is ............

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  4. The equation of the plane with normal 2 hati + hatj -2 hat k and at di...

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  5. The angle between the planes bar r(1,2,-1) =3 and 2x - y +2z = 2 is......

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  6. The equation of the plane passing through the points (-1,1,0) and (2,3...

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  7. The equation of the plane passing through the line of intersection of ...

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  8. The equation of the plane passing through A(3,1,2) and perpendicular t...

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  9. The distance of the plane barr (12,-4,3) = 65 from the origin is ........

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  10. The plane 2x - 3y + 6z + 9 =0 makes an angle with positive direciton o...

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  11. Expression of x+y + z = 1 in the form of x cos alpha + y cos beta + z ...

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  12. The perpendicular distance between the planes x + 2y- 3z = 2 and 2x+4...

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  13. A line (x-3)/(1) = (y-6)/(5) = (z-4)/(4) is in the plane which passes ...

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  14. The perpendicular distance of the point (3,2,1) from the plane 3x+4y-2...

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  15. The point of intersection of the line (x-4)/(2) = (y+3)/(5) = (z-3)/(3...

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  16. The plane 2x + 3y -2sqrt(3)z + 25 = 0 makes an angle.......with X-axis...

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  17. The plane passing the points (1,1,1),(1,-1,1) and (-1,3,-5) contains t...

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  18. The direction of theline passing through the point (-1,2,4) and parall...

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  19. The equation of the plane passing through (1,-4,5) and having normal (...

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  20. The plane x-2y + 3z= 2 makes an angle ... With Y-axis.

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