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If u,v,w are non-coplanar vectors and p,...

If u,v,w are non-coplanar vectors and p,q are real numbers, then the equality [3u pv pw] - [pv w qw] - [2w qv qu] = 0 holds for

A

exactly two values of (p,q)

B

more than two but not all value of (p,q)

C

all values of (p,q)

D

exactly one value of (p,q)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If a,b,c are noncoplanner vectors then (a.(b xx c))/((c xx a). B) + (b...

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  19. [ 2+6 -2+7 8-10] =

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

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