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If hatx, haty and hatz are three unit ve...

If `hatx, haty and hatz` are three unit vectors in three-dimensional space, then the minimum value of `|hatx+haty|^(2)+|haty+hatz|^(2)+|hatz+hatx|^(2)` is

A

`(3)/(2)`

B

3

C

`3sqrt(3)`

D

6

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The correct Answer is:
B
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AAKASH SERIES-APPENDICES (REVISION EXERCISE)-CROSS PRODUCT OF TWO VECTORS
  1. Let bara and barb be two non-collinear unit vectors. If baru=bara-(ba...

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  2. Let a = 2i + j - 2k and b = I + j. If c is vector such that ac = |c|, ...

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  3. If bara, barb, barc are three vectors such that |bara|=|barc|=1, |barb...

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  4. The vector barc is perpendicular to both bara=(1,-2,-1), barb=(2, 1, -...

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  5. If barr satisfies the equation barr xx (bari+2barj+bark)=bari-bark, th...

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  6. If A,B,C,D are four point and |bar(AB) xx bar(CD) +bar(BC)xx bar(AD) +...

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  7. If A(1), A(2), ……A(n) are the vertices of a regular polygon with 'n'...

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  8. Let bara=2bari+3barj-bark, barb=3bari-barj+bark and barc=bari+barj+3ba...

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  9. Let barr xx bara=barb xx bara and barr.barc=0 where bara.barc ne0 then...

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  10. If bara xx barb=barc and barbxx barc=bara, then

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  11. If bara=bari+2barj+3bark, barb= -bari+2barj+bark, barc=3bari+barj and ...

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  12. If hatx, haty and hatz are three unit vectors in three-dimensional spa...

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  13. Let veca=hatj-hatk and vecc=hati-hatj-hatk. Then vector vecb satisfyin...

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  14. The vector (hati xx veca.vecb)i +(hatj xx veca.vecb)hatj+(hatk xx veca...

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  15. A vector vecn is inclined to x-axis at 45^(0), to y-axis at 60^(0) and...

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  16. If the angle theline 2(x+1)=y=z+4 and the plane 2x-y+sqrt(lambda)z+4=0...

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  17. Let veca and vecb be two unit vectors such that |veca+vecb|=sqrt(3). I...

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