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If a and b are two non-zero perpendicula...

If a and b are two non-zero perpendicular vectors, then a vector y satisfying equations a. y = c (c scalar) and `a xx y = b` is

A

`|a|^(2) (ca - (a xx b))`

B

`|a|^(2) (ca + (a xx b))`

C

`(1)/(|a|^(2)) (ca - (a xx b))`

D

`(1)/(|a|^(2)) (ca + (a xx b))`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. If a is a unit vector, a xx r = b, a. r = c, a.b = 0 then r is

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  2. a,b are non-zero vectors, c is given non-zero scalar such that a is pe...

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  3. If a and b are two non-zero perpendicular vectors, then a vector y sat...

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  4. The vectors vec(a) and vec(b) are not perpendicular and vec(c ) and ve...

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  5. If a,b,c are nonzero vectors, then (a xx b) xx c = a (b xx c) iff (a x...

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  6. If a,b,c are three unit vectors such that a xx (b xx c) = (1)/(2) b th...

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  7. Let a.b and c be non-zero vectors such that (a xx b) xx c = (1)/(3) |b...

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  8. If (a xx b) xx c = a xx (b xx c). Where a,b and c are any three vector...

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  9. If vec(a) and vec(b) are unit vectors, then the vectors (vec(a) + vec(...

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  10. (a xx b) . (a xx c) =

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  11. If a xx b = c xx d, a xx c = b xx d then

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  12. [d b c] a + [a d c] b + [a b c] c =

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  13. If the four vectors a,b,c,d are coplanar, then (a xx b) xx (c xx d) =

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  14. If a = I + j + k, b = I + j - k, c = I - j + k, d = I - j - k then (a ...

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  15. If a = 2i + j - 3k, b = I - 2j + k, c -I + j - 4k, d = I + j + k then...

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  16. The vector equation of a straight line passing through bara and perpen...

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  17. The perpendicular distance of the point c from the line joining a and ...

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  18. If a,b,c,d are four vectors then (A xx b) xx (C xx d) =

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  19. If the vectors b, c, d are not coplanar, then the vector (axx b)xx(c x...

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  20. a.a' + b.b' + c.c' =

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