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hata, hatb and hata-hatb are unit vector...

`hata, hatb and hata-hatb` are unit vectors. The volume of the parallelopiped, formed with `hata, hatb and hata xx hatb` as coterminous edges is :

A

1

B

`(1)/(4)`

C

`(2)/(3)`

D

`(3)/(4)`

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The correct Answer is:
D
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VIKAS GUPTA (BLACK BOOK) ENGLISH-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-5 : Subjective Type Problems
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  4. Let OABC be a tetrahedron whose edges are of unit length. If vec OA = ...

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  7. Let |veca|=1, |vecb|=1 and |veca+vecb|=sqrt(3). If vec c be a vector ...

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  8. Let vecr=(veca xx vecb)sinx+(vecb xx vec c)cosy+2(vec c xx vec a), whe...

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  9. The plane denoted by P1 : 4x+7y+4z+81=0 is rotated through a right ang...

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  11. A, B, C, D are four points in the space and satisfy |vec(AB)|=3, |vec(...

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  12. Let OABC be a regular tetrahedron of edge length unity. Its volume be ...

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  13. If veca and vecb are non zero, non collinear vectors and veca(1)=lamb...

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  14. Let P and Q are two points on the curve y=log((1)/(2))(x-0.5)+log2sqrt...

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  15. Let P and Q are two points on the curve y=log((1)/(2))(x-0.5)+log2sqrt...

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  16. If a, b, c, l, m, n in R-{0} such that al+bm+cn=0, bl+cm+an=0, cl+am+b...

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  17. Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u=...

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