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If hatu and hatv are unit vactors and th...

If `hatu and hatv` are unit vactors and `theta` is the angle between them, the` 2 hatu xx 3 hatv` is unit veactor for :

A

More than two values of `theta.`

B

No value of `theta.`

C

Exactly one value of `theta.`

D

Exactly two values of `theta.`

Text Solution

Verified by Experts

The correct Answer is:
C
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MODERN PUBLICATION-VECTOR ALGEBRA -Multiple Choice Question (Level-II)
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  3. Let veca, vecb, and vecc be three non-zero vectors such that no two of...

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  5. If veca, vecb, cecc are non-coplanar vectors and lamda is a real numbe...

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  6. If hatu and hatv are unit vactors and theta is the angle between them,...

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  7. Let veca = hat i + hatj + hatk, vecb = hati + 2 hatk and vecc = x hati...

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  8. The vector veca = alpha hati + 2 hatj + beta hatk lies in the plance o...

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  10. Let the vectors veca, vecb, vecc and vecd be such that (veca xx vecb) ...

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  11. The unit vector which is orthgonal to the vector veca=3hati+2hatj+6hat...

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  12. If veca, vecb, vecc are three non-zero, non-coplanar vectors and vec...

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  13. Let veca = hati + hatj + hatk, vecb = hati - ahtj + hatk and hati - ha...

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  14. The number of distinct real values of lamda, for which the vectors : ...

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  15. Let veca, vecb, vecc be unit vectors such that veca + vecb + vecc = v...

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  16. The edges of a parallelopiped are of unit length and are parallel to n...

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  17. Let two non-collinear unit vectors hata and hatb form an acute angle. ...

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