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If a = I + 2j + 3k, b = -I + 2j + k, c =...

If a = I + 2j + 3k, b = -I + 2j + k, c = 3i + j and d is normal to both a and b, then (c,d) =

A

`cos^(-1) ((4)/(sqrt(30)))`

B

`sin^(-1) ((4)/(sqrt(30)))`

C

`cos^(-1) ((2)/(sqrt(30)))`

D

`sin^(-1) ((2)/(sqrt(30)))`

Text Solution

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A
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1B Cross Product of Vectors
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  2. The area of the triangle with vertices (1,2,3), (2,5,-1), (-1,1,2) is

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

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

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

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

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  7. If a = 2i + 2j + k, a.b = 14, a xx b = 3i + j - 8k then b =

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  8. If a = (1,1,1) c = (0,1, -1) are given vectors then a vector b satisfy...

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  9. If a = 2i + k, b = I + j + k, c = 4i - 3j + 7k. The vector r satisfyin...

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  10. The vector c is perpendicular to both a = (1, -2, -1), b = (2, 1, -1) ...

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  11. If a,b are two unit perpendicular vectors and c is a unit vector which...

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  12. If a = I + 2j + 3k, b = -I + 2j + k, c = 3i + j and d is normal to bot...

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  13. If x.a = 0, x xx b = c xx b then x =

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  14. r xx a = b xx a, r xx b = a xx b, r xx b = a xx b, != 0, b != 0, a != ...

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  15. Let a = I + j, b = 2i - k. Then the point of intersection of the lines...

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  16. The perpendicular distance from A (1,4, -2) to the line BC, where B = ...

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  17. The perpendicular distance from the point 3i - 2j + k to the line join...

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  18. If A (1,2,3), B (2,3,1), C (3,1,2) then the length of the altitude thr...

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  19. The torque about the point 2i + j - K of a force represented by 4i + k...

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  20. A force F = 2i - lambdaj + 5k is applied at the point A (1,2,5). If it...

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