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The volume of parallelopiped with edges ...

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

A

0

B

1

C

2

D

3

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The correct Answer is:
B
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{:(I."Area of the parallelogram with diagonals" 3i + j - 2k. i - 3j + 4k, a.(sqrt(569))/(4)), (II. "Area of the triangle whose adjacent sides are" 3i + 4j "and" i - 3j + 4k, b. (2)/(sqrt(14))),(III. "Volume of parallelopiped whose edges are" 2i - 3j. i + j - k. 3i - k, c. 5 sqrt(3)),(IV. "Projection of" 2i + 3j - 2k "in the direction of" i + 2j + 3k, d. 4),(, e. 2//3)):}"

The volume of the parallelopiped whose edges are given by I + 2j + 3k, 2i + 3j + 2k, 2i + 3j + k is

If the volume of the parallelopiped with eoterminus edges 4i + 5j + k, - j + k and 3i + 9j + pk is 34 cubic units, then the negative value of p =

The volume of the parallelopiped whose edges are represented by 2i - 3j , i + j - k, 3i - k is

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

The volume of the parallelopiped whose sides are OA = (lambda + 1) i + lambda (lambda + 1) j + k , OB = (lambda + 2)i + (lambda + 1) (lambda + 2) j + k, OC = (lambda + 3) I + (lambda + 2) (lambda + 3) j + k is

The volume of the parallelopiped whose sides ae OA = (lambda + 2) i + (lambda + 2) (lambda + 1) j + k. OB (lambda + 3) I + (lambda + 2) (lambda + 3) j + k and OC = (lambda + 4) i + (lambda + 3) (lambda + 4) j + k is

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. If x,y,z are non-zero real numbers, a = xi + 2j, b = yi + 3k and c = x...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. [ 2+6 -2+7 8-10] =

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

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  18. If a.i = 4 then (a . j) xx (2j - 3k) =

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  19. {a. (b xx i)} + {a. (b xx j)} j + {a . (b xx k)} k =

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  20. (a + b) xx c + (b + c) xx a + (c + a) xx b =

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