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The vectors 2i - 3j + k, I - 2j + 3k, 3i...

The vectors `2i - 3j + k, I - 2j + 3k, 3i + j - 2k`

A

`-12`

B

14

C

10

D

15

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A
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If the vectors 2i -- 3j + 4k, I + 2j - k, xi - j + 2k are coplanar then x = 8/5

If the vectors 2i - 3j + 4k, I + 2j - k and xi - j + 2k are coplanar then x =

A : The vector equation of the plane passing through I + j + k and parallel to the vectors 2i + 3j - k, I + 2j + 3k is [r - (I + j + k) 2i + 3j - k I + 2j + 3k] = 0 R : The vector equation of the plane passing through the point a and parallel to the vectors b,c is [r - a b c] = 0

If the three vectors 2i - j + k, I + 2j - 3k and 3i + lambda j + 5k are coplanar then lambda =

A : The vector equation of the plane passing through the point 2i + 2j - 3k and parallel to the vectors 3i + 3j - 5k, i + 2j + k is r = 2i + 2j - 3k + s(3i + 3j - 5k) + t(i + 2j + k) R : The vector equation of the plane passing through the points a, b, c is r = (1 - s - t) a + sb + tc

The volume of the parallelopiped with edges 2i - 4j + 5k, I - j + k, 3i - 5j + 2k is -8

The volume of the parallelopiped whose coterminal edges are 2i - 3j + 4k, I + 2j - 2k, 3i - j + k is

If the position vectors of the vertices of a triangle are 2i - j + k, i - 3j - 5k, 3i - 4j - 4k then it is

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. [I - j j - k k - i] =

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

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  3. The vectors 2i - 3j + k, I - 2j + 3k, 3i + j - 2k

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  4. (a + 2b - c) . (a - b) xx (a - b - c) =

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  5. If a is perpendicular to b and c, |a| = 2, |b| = 3, |c| = 4 and the an...

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  6. If u,v,w are non-coplanar vectors and p,q are real numbers, then the e...

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  7. If x,y,z are non-zero real numbers, a = xi + 2j, b = yi + 3k and c = x...

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  8. If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...

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  9. The volume of parallelopiped with edges I, I + j, I + j + k is

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  10. The volume of the parallelopiped whose coterminal edges are 2i - 3j +...

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  11. The volume of the parallelopiped whose edges are represented by 2i - 3...

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  12. The volume of the parallelopiped with edges (2, -3, 0), (1,1, - 1), (3...

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  13. If [a b c] = 3, then the volume (in cube units) of the parallelopiped ...

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  14. The volume of the parallelopiped whose sides are OA = (lambda + 1) i +...

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  15. The volume of the parallelopiped whose sides ae OA = (lambda + 2) i + ...

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  16. Let Oa,Ob,OC be the co-terminal edges of a rectangular parallelopiped ...

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  17. The volume of the tetrabodron with vertices at (0,0,0), (1,0,0),(0,1,0...

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  18. The volume of the tetrahedron formed by (1,2,3), (4,3,2), (5,2,7),(6,4...

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  19. The volume of the tetrahedron formed by 4i + 5j + k, - j + k, 3i + 9j ...

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  20. The volume of (in cubic units) of the tetrahedron with edges I + j + k...

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