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One plane is parallel to the vectors hat...

One plane is parallel to the vectors `hat i + hat j + hat k` and `2 hat i` Other plane is parallel to the vectros ` hat i + hat j` and ` hat i - hat k` . The angle between the line of intersection of both the planes and the vector `2 hat i - hat j` is ................

A

`cos^(-1)"" (3/(sqrt(50)))`

B

`cos^(-1)""( 2/(sqrt(30)))`

C

`cos^(-1)""((1)/(sqrt(10)))`

D

`cos^(-1)""(19/(sqrt(30)))`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The distance between the line bar r = 2 hat i - 2 hat j + 3 hat k + l...

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  2. The plane is passing through A(2,-1,3) and it is parallel to bar a = (...

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  3. One plane is parallel to the vectors hat i + hat j + hat k and 2 hat i...

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  4. The line segment joining the points (2,4,5) and (3,5,-4) divides the Y...

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  5. The equation of the plane passing through (1,-3,-2) and perpendicular ...

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  6. Find the distance of the point (-1, -5, -10) from the point of interse...

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  7. The distance of the point (1,-2,3) from the plane x-y+z = 5, measured ...

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  8. The plane contains the vectors 2 hat i + 3 hat j - hat k and hat i + h...

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  9. A plane meets the axes in the points, A, B and C. If the centroid of D...

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  10. Out of the following planes , which plane is passing through theline o...

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  11. A plane is passing through (1,0,0) and (0,1,0) and it makes and angle ...

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  12. The equation of the plane passing through origin and the line of inter...

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  13. The equation of the plane containing the lines vec r = vec (a1) + lamb...

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  14. If the lines vec r = vec a + lambda (vec b xx vec c) and vec r = vec b...

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  15. The distance between the planes 2x + 2y-z + 2 = 0 and 4x + 4y -2x +...

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  16. The plane 2x - (1- lambda) y+ 3 lambda z= 0 is passing through the lin...

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  17. A plane passes through (1,1,1). It is perpendicular to the line (x-1)/...

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

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  19. The vector equation of the plane containing the line vec r (-2 hat i -...

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  20. The plane passing through the intersection of the planes x+y +z =1 and...

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