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If bara=(1)/(sqrt(10)) (3bari+bark) and...

If ` bara=(1)/(sqrt(10)) (3bari+bark) and barb=(1)/(7)(2bari+3barj-6bark)`, then the value of `(2bara-barb).[(bara xx barb)xx(bara+2barb)]`

A

5

B

3

C

`-5`

D

`-3`

Text Solution

Verified by Experts

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 = 2i + 3j - 4k, b = I + j + k and c = 4i + 2j + 3k, then |a xx (b...

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  2. If a = I + j + k, b = i+ j, c = I and (a xx b) xx c = lambda a + mu b,...

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  3. If bara=(1)/(sqrt(10)) (3bari+bark) and barb=(1)/(7)(2bari+3barj-6bar...

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  4. I xx (a xx i) + j xx (a xx j) + k xx (a xx k)=

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  5. a = I + j - 2k implies sum {(a xx i) xx j }^(2)

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  6. [b xx c c xx a a xx b] =

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  7. (A xx B). {(B xx C) xx (C xx A)} =

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  8. If [a xx b b xx c c xx a] lambda [a b c]^(2) then lambda is equal to

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  9. a xx [a xx (a xx b)] =

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

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  11. If a = I + 2j - 3k, b = 2i + j + k, c = I + 3j - 2k then (a xx b) xx (...

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  12. [(a xx b) xx (a xx c)]. D =

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  13. a xx {b xx (C xx a) + (p xx q)} =

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  14. If a is a unit vector, a xx r = b, a. r = c, a.b = 0 then r is

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

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

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

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

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

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

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