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If hata" and "hatb are non-collinear uni...

If `hata" and "hatb` are non-collinear unit vectors and if `|hata+hatb|=sqrt(3)`, then the value of `(2hata-5hatb).(3hata+hatb)` is :-

A

`(41)/(2)`

B

`(11)/(2)`

C

`-(11)/(2)`

D

`-(41)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ALLEN -RACE-Basic Maths (VECTORS)
  1. Correct relation is :

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  2. Two vectors vecA=3hati+2hatj+hatk" and "vecB=5hatj-9hatj+Phatk are per...

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  3. If the vectors (hati+hatj+hatk) and 3 hati form two sides of a triangl...

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  4. The vector projection of a vector 3hat(i)+4hat(k) on y-axis is

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  5. Consider two vectors vecF(1)=2hati+5hatk and vecF(2)=3hatj+4hatk. The ...

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  6. When vecA.vecB=-|vecA||vecB|, then :-

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  7. The component of vector A=a(x)hati+a(y)hatj+a(z)hatk and the directioi...

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  8. (vecA+2vecB).(2vecA-3vecB):-

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  9. If vecA=3hati+4hatj and vecB=6hati+8hatj, select correct alternatives ...

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  10. The angle between the vectors (hati+hatj) and (2^(1/2)hatj+hatk)) is

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  11. vecA, vecB and vecC are vectors each having a unit magneitude. If ...

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  12. vecA and vecB and vectors expressed as vecA = 2hati + hatj and vecB = ...

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  13. The angle made by the vector vecA=2hati+2hatj with x-axis is

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  14. Two vectors vecA=4hati+alphahatj+2hatk" and "vecB=2hati+hatj+hatk are ...

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  15. If vector hati+hatj-hatk" and "2hati+2hatj+lambdahatk are parallel tha...

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  16. If vecAxxvecB=vecC then find out the correct one :-

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  17. The position vectors of points A,B,C and D are A=3hati+4hatj+5hatk,B=4...

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  18. If vector (veca+ 2vecb) is perpendicular to vector (5veca-4vecb), then...

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  19. If hata" and "hatb are non-collinear unit vectors and if |hata+hatb|=s...

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  20. Vectors vecA and vecB are mutually perpendicular . Component of vecA...

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