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The perpendicular distance between the l...

The perpendicular distance between the line `vecr = 2hati-2hatj+3hatk+lambda(hati-hatj+4hatk)` and the plane `vecr.(hati + 5hatj + hatk) = 5` is :

A

`(10)/(9)`

B

`(10)/(3sqrt(3))`

C

`(3)/(10)`

D

`(10)/(3)`

Text Solution

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The correct Answer is:
B
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VIKAS GUPTA (BLACK BOOK) ENGLISH-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-5 : Subjective Type Problems
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  2. A rod AB of length 2L and mass m is lying on a horizontal frictionless...

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  3. If hata, hatb and hatc are non-coplanar unti vectors such that [hata ...

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  4. Let OABC be a tetrahedron whose edges are of unit length. If vec OA = ...

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  5. If A is the matrix [(1,-3),(-1,1)], then A-(1)/(3)A^(2)+(1)/(9)A^(3)……...

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  6. A sequence of 2xx2 matrices {M(n)} is defined as follows M(n)=[((1)/(...

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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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  10. ABCD is a regular tetrahedron, A is the origin and B lies on x-axis. A...

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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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