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If a is any vector then (a xx i)^(2) + (...

If a is any vector then `(a xx i)^(2) + (a xx j)^(2) + (a xx k)^(2)` =

A

`a^(2)`

B

`2a^(2)`

C

`3a^(2)`

D

`4a^(2)`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1B Cross Product of Vectors
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  3. If a is any vector then (a xx i)^(2) + (a xx j)^(2) + (a xx k)^(2) =

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  5. If vec(a) is a unit vector and vec(a) xx vec(i) = vec(j), then vec(a)....

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  6. If three vectors a,b,c are such that a !=0 and a xx b = 2 (a xx c), |a...

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  7. The vector area of the parallelogram whose adjacent sides are i + j + ...

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  8. The area of the parallelogram whose adjacent sides are 3i + 2j + k and...

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  9. The vector area of the parallelogram whose diagonals are I + j - k, 2i...

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  10. The area of the parallelogram whose diagonals are I - 3j + 2k, -I + 2j...

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  11. The vector area of the rectangle whose adjacent sides are 2i + 3j, 4k ...

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  12. The vector area of the triangle whose adjacent sides are I - 2j + 2k, ...

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  13. The area of the triangle whose sides are given by 2i - 7j + k and 4j- ...

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  14. The vector area of the triangle with vertices I + j + k, I + j + 2k, I...

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  15. The area of the triangle formed by the points whose position vectors a...

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  16. The area of the triangle with vertices (1,2,3), (2,5,-1), (-1,1,2) is

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  17. The vector area of the Delta ABC whose vertices are a,b,c is

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  18. If a,b,c are the position vectors of A,B,C of Delta ABC then (a xx b) ...

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  19. If |vec(a)|=sqrt3, |vec(b)|=2, (vec(a), vec(b))= (pi)/(3), then the ar...

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  20. If the area of the parallelogram whose adjacent sides are 3 vec(i) - 4...

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