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If A = (1,3, - 5) and B = (3,5, - 3) the...

If A = (1,3, - 5) and B = (3,5, - 3) then the vector equation of the plane passing through the midpoint of AB and perpendicular to AB is

A

r.(I + j + k) = 2

B

r. (I + j - k) = 2

C

r. (I - j + 4k)

D

none

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A
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1A
  1. The cartesian equation of the plane passing through A and perpendicula...

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  2. The cartesian equation of the plane passing through A and perpendicula...

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  3. If A = (1,3, - 5) and B = (3,5, - 3) then the vector equation of the p...

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  4. The distance between the line vecr = 2hati - 2hatj + 3hatk + lambda (...

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  5. The angle between the planes r. (2i - j + 2k) = 3 and r. (3i - 6j + 2k...

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  6. The angle between the lies r = (2i - 3j + k) + lambda (I + 4j + 3k) an...

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  7. The distance from the origin to the plane passing through A and perpen...

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  8. The vector equation of the sphere with centre 3i + 2j - 5k and radius ...

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  9. The centre and radius of the sphere r^(2) - 2r. (3i + 4j - 5k) + 1 = 0...

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  10. The centre and radius of the sphere 3x^(2) + 3y^(2) + 3z^(2) - 2x - 12...

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  11. The equation of the sphere on the join of (3,4 , -2), (-2, -1, 0) as d...

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  12. The centre of the sphere (r - 3i - 4j + 5k). (r - 21 + 3j - 4k) = 0 is

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  13. Tae radius of the sphere (r - 2i + 3j - k). (r + 3i - j + 2k) = 0 is

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  14. The work done by the force F = 2i - 3j + 2k in moving a particle from ...

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  15. The force f = 2i + 2j - k acting at a = I - 2j + k is displaced to a u...

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  16. Constant force P = 2i - 5j + 6k and Q = -1 + 2j - k act on a particle....

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  17. A particle acted on by constant forces 4i + j - 3k and 3i + j - k is d...

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  18. If forces of magnitudes 6 and 7 units acting in the direction I - 2j +...

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  19. Three forces having magnitude 5,4 and 3 units act on a particle in the...

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  20. The work done by force F = ai + j + k in moving a particle from (1,1,1...

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