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In the parallelogram ABCD, overline(AC)^...

In the parallelogram ABCD, `overline(AC)^(2)- overline(BD)^(2)` =

A

`4 overline(AB)`. (orthogonal projection of `overline(AD)` on `overline(AB)`)

B

`2 overline(AB)`. (orthogonal projection of `overline(AD)` on `overline(AB)`)

C

` overline(AC)`. (orthogonal projection of `overline(BD)` on `overline(AC)`)

D

`2 overline(AC)`. (orthogonal projection of `overline(BD)` on `overline(AC)`)

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A
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1A
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  3. In the parallelogram ABCD, overline(AC)^(2)- overline(BD)^(2) =

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  4. In the parallelogram ABCD, overline(AD)^(2) - overline(AB)^(2) =

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  5. If a,b are unit vectors such that the vector a + 3b is perpendicular t...

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

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

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

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

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

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

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

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

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

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

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

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