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The vector area of the triangle with ver...

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

A

I + j + k

B

`-i`

C

`(1)/(2) i`

D

`- (1)/(2) i`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1B Cross Product of Vectors
  1. The vector area of the triangle whose adjacent sides are I - 2j + 2k, ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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