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If m(1),m(2), m(3), m(4) are respetively...

If `m_(1),m_(2), m_(3), m_(4)` are respetively the magnitudes of the vectors `overset(-)(a_(1))=2overset(-)i-overset(-)j+overset(-)k, overset(-)(a_(2))=3overset(-)i-4overset(-)j-4overset(-)k, overset(-)(a_(3))=-overset(-)I +overset(-)j-overset(-)k, overset(-)(a_(4))=-overset(-)i+3overset(-)j+overset(-)k`, then the correct order of `m_(1), m_(2), m_(3), m_(4)` is

A

`m_(3) lt m_(1) lt m_(4) lt m_(2)`

B

`m_(3) lt m_(1) lt m_(2) lt m_(4)`

C

`m_(3) lt m_(4) lt m_(1) lt m_(2)`

D

`m_(3) lt m_(4) lt m_(2) lt m_(1)`

Text Solution

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The correct Answer is:
A
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SIA PUBLICATION-ADDITION OF VECTORS AND PRODUCT OF VECTORS-Problems
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  9. If veca=hati+hatk, hatk, overset(-)b=hati-hatj+hatk, overset(-)c=hati+...

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  10. Let overset(-)a be a unit vector overset(-)b=2hati+hatj-hatk and overs...

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  11. Let a=a(1) hati+a(2) hatj+a(3) hatk Assertion (A) The identity |ve...

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  13. The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7...

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  15. The volume (in cubic unit) of the tetrahedron with edges hati+hatj+hat...

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