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If, in a right angled triangle ABC, the ...

If, in a right angled triangle ABC, the hypotenuse, AB = p, then AB.AC + BC . BA + CA. CB =

A

`2 p^(2)`

B

`p^(2) // 2`

C

`p^(2)`

D

none

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1A
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  2. If a,b, are two vectors of lengths 2,1 respectively and |a - b| = sqrt...

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  3. If, in a right angled triangle ABC, the hypotenuse, AB = p, then AB.AC...

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  4. If a,b,c are unit vectors such that a + b + c = 0 then a.b + b.c + c +...

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  5. If two out of the three vectors a,b,c are unit vectors, a + b + c = 0 ...

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  6. If a,b,c are three vectors such that a + b + c = 0, |a| = 1, |b| = 2, ...

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  7. If a,b,c are mutally perpendicular unit vectors, then |a + b + c| =

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  8. If A.(B+ C) = B. (C + A) = C. (A + B) = 0, |A| = 3, |B| = 4, |C| = 5 t...

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  9. If a,b,c are vector of length 4,4,5 respectively and a,b,c are perpend...

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  10. Let u,v,w be such that |u| = 1, |v| = 2, |w| = 3. If the projection v ...

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  11. If a,b and c are vectors with magnitudes 2,3 and 4 respectively then t...

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  12. If p^(th), q^(th), r^(th) terms of a geometric progression are the pos...

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  13. The vectors AB = 3i - 2j + 2k and BC = - I - 2k are the adjacent sides...

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  14. Let a and b be two unit vectors. If the vectors c = a + 2b and d = 5a ...

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  15. If a,b are vectors of lengths a,b respectively then ((a)/(a^(2)) - (b)...

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  16. If a.b = 0 and a + b makes an angle of 30^(@) with a, then

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  17. If a,b,c are three mutally perpendicular vectors such that |a| = |b|...

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  18. If three unit vectors a,b,c satisfy a + b + c = 0 then the angle betwe...

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

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

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