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If overline(AC)=3hat(i)+hat(j)-2hat(k), ...

If `overline(AC)=3hat(i)+hat(j)-2hat(k), overline(DB)=hat(i)-3hat(j)-4hat(k)` are the vectors along the diagonals of a parallelogram ABCD and `overline(AE)=hat(i)+2hat(j)+3hat(k)` is another vector, then the volume of the paralleloP1ped whose co-terminous edges are represented by the vectors `overline(AB), overline(AD), overline(AE)` is

A

2cu. Units

B

10cu. Units

C

6cu. Units

D

12cu. Units

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The correct Answer is:
B
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. The volume of the paralleloP1ped with co-terminous edges overline(a)=2...

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  2. The volume of the paralleloP1ped whose co-terminous edges are overline...

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  3. If overline(AC)=3hat(i)+hat(j)-2hat(k), overline(DB)=hat(i)-3hat(j)-4h...

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  4. If A,B,C,D are (1,1,1), (2,1,3), (3,2,2),(3,3,4) respectively, then fi...

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  5. If A,B,C and D are {3,7,4),(5,-2,-3),(-4,5,6) and (1,2,3) respectively...

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  6. If A(4, 2, 1), B(2, 1, 0), C(3, 1, -1), D(1, -1, 2), then the volume o...

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  7. If [[overline(a), overline(b), overline(c)]]=2 then the volume of the ...

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  8. If [[overline(a), overline(b), overline(c)]]=4 then the volume of the ...

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  9. If the three co-terminous edges of a paralleloP1ped are represented by...

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  10. The volume of paralleloP1ped with vector overline(a)+2overline(b)+over...

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  11. The volume of the tetrahedron whose co-terminous edges are hat(j)+hat...

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  12. Find the volume tetrahedron whose coterminus edges are 7hat(i)+hat(k),...

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  13. The volume of the tetrahedron whose co-terminous edges are overline(a)...

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  14. Volume of tetrahedron with vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0)...

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  15. The volume of the tetrahedron whose vertices are A(-1, 2, 3), B(3, -2,...

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  16. The volume of the tetrahedron whose vertices are (3, 7, 4), (5, -2, 3)...

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  17. If overline(a)*hat(i)=4, then (overline(a)timeshat(j))*(2hat(j)-3hat(k...

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  18. If [[hat(i)+4hat(j)+6hat(k), 2hat(i)+ahat(j)+3hat(k), hat(i)+2hat(j)-3...

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  19. [[hat(i), hat(j), hat(k)]]+[[hat(k), hat(j), hat(i)]]+[[hat(j), hatk, ...

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  20. If overline(u)=hat(i)-2hat(j)+hat(k), overline(v)=3hat(i)+hat(k), over...

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