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If a.i = 4 then (a . j) xx (2j - 3k) =...

If a.i = 4 then `(a . j) xx (2j - 3k)` =

A

12

B

2

C

0

D

`-12`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. [ 2+6 -2+7 8-10] =

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  2. If (a - lambda b) . (b - 2c) xx (c + 3a) = 0 then lambda =

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  3. If a.i = 4 then (a . j) xx (2j - 3k) =

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  4. {a. (b xx i)} + {a. (b xx j)} j + {a . (b xx k)} k =

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  5. (a + b) xx c + (b + c) xx a + (c + a) xx b =

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  6. (a - b) . (b - c) xx (c - a) =

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  7. C. (b + c) xx (a + b + c) =

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  8. If u,v,w are three nonceplannar vectors then (u + v - w), (u - v) xx (...

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  9. If a,b,c are three vectors such that [abc]=5, then the value of [a×bb×...

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  10. If a,b,c are linearly independent, then ([2a + b 2b + c. 2c + a])/([a ...

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  11. If a,b,c are linearly independent, ((a + 2b). (2b + c) xx (5c + a))/(a...

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  12. Let a,b and C be three non - coplanar vectors and let p,q and r be the...

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  13. If the vectors 2i - 3j + 4k, I + 2j - k and xi - j + 2k are coplanar t...

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  14. If the vectors 2i - j + k, I + mj. I + j + k are coplannar then the va...

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  15. If the three vectors 2i - j + k, I + 2j - 3k and 3i + lambda j + 5k ar...

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  16. If I - 2j, 3j + k and lambda I + 3j are coplanar. Then lambda=

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  17. If I + j + k, I - j, I + 2j + ak are coplanar then a is

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  18. If 3i + 3j + sqrt(3) k, I + k, sqrt(3) I + sqrt(3) lambda k are coplan...

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  19. If a,b,c are non-coplanar vectors and lambda is a real number, then th...

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  20. Let a = I + j + k, b = I - j + 2k and c = xi + (x - 2) j - k. If the v...

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