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If vectors veca and vecb are non colline...

If vectors `veca and vecb` are non collinear then `veca/(|veca|)+vecb/(|vecb|)` is

A

a unit vector

B

in the plane of `veca and vecb`

C

equally inclined to `veca and vecb`

D

perpendicular to `veca xx vecb`

Text Solution

Verified by Experts

The correct Answer is:
b,c,d

Obviosusly, ` veca/ (|veca| ) + vecb/(|vecb|)` is a vector in the palane of `veca and vecb` and hence perpendicular to `veca xx vecb` . It is also equally inclined to `veca and vecb` as it is along bisector.
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CENGAGE PUBLICATION-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercises MCQ
  1. If veca and vecb are unequal unit vectors such that (veca - vecb) xx[ ...

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  2. If veca and vecb are two unit vectors perpenicualar to each other and ...

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  3. If vectors veca and vecb are non collinear then veca/(|veca|)+vecb/(|v...

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  4. If veca and vecb are non - zero vectors such that |veca + vecb| = |vec...

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  5. Let veca vecb and vecc be non- zero vectors aned vecV(1) =veca xx (vec...

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  6. Vectors vecA and vecB satisfying the vector equation vecA+ vecB = vec...

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  7. A vector vec d is equally inclined to three vectors vec a= hat i+ ...

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  8. Vectors Perpendicular to hati - hatj- hatk and in the plane of hati + ...

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  9. If side vec A B of an equilateral trangle A B C lying in the x-y plan...

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  10. The angles of triangle, two of whose sides are represented by vector...

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  11. vec a , vec b ,a n d vec c are unimodular and coplanar. A unit vector ...

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  12. If veca + 2 vecb + 3 vecc = vec0 " then " veca xx vecb + vecb xx vecc...

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  13. Let veca and vecb be two non-collinear unit vectors. If vecu=veca-(vec...

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  14. if veca xx vecb = vecc ,vecb xx vecc = veca , " where " vecc ne vec0 ...

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  15. Let veca, vecb, and vecc be three non- coplanar vectors and vecd be a ...

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  16. If vec a , vec b , a n d harr c are three unit vecrtors such that ...

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  17. If in triangle ABC, vec(AB) = vecu/|vecu|-vecv/|vecv| and vec(AC) = (...

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  18. [vecaxx vecb " " vecc xx vecd " " vecexx vecf] is equal to

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  19. The scalars l and m such that l vec a+m vec b= vec c ,where vec a , v...

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  20. If (veca xx vecb) xx (vecc xx vecd) . (veca xx vecd) =0 then which of ...

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