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Two vectors vecA and vecB are such that ...

Two vectors `vecA` and `vecB` are such that `vecA+vecB=vecA-vecB`. Then

A

`vec(a).vec(b)+vec(b).vec(c)+vec(c).vec(a)=0`

B

`vec(a)xxvec(b)=vec(b)xxvec(c)=vec(c)xxvec(a)`

C

`vec(a).vec(b)=vec(b).vec(c)=vec(c).vec(a)`

D

`vec(a)xxvec(b)+vec(b)xxvec(c)+vec(c)xxvec(a)=vec(0)`

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Verified by Experts

The correct Answer is:
B

Area of triangle `=1/2 (vec(a)xxvec(b))=1/2(bxxvec(c))=1/2(vec(c)xxvec(a))`
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ALLEN -BASIC MATHS-Exercise-02
  1. Two vectors vecA and vecB are such that vecA+vecB=vecA-vecB. Then

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  2. The angle between (vecAxxvecB) and (vecBxxvecA) is (in radian)

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  3. The unit vector parallel to the resultant of the vectors vecA=4hati+3h...

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  4. A vector vecA points vertically upward and vecB points towards north. ...

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  5. Which of the following sets of concurrent forces may be in equilibrium...

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  6. Two vectors, both equal in magnitude, have their resultant equal in ma...

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  7. A force (3hati+4hatj) newton acts on a boby and displaces it by (3hati...

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  8. The vector vecP=ahati+ahatj+3hatj and vecQ=ahati-2hatj-hatk, are perpe...

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  9. The vector sum of two forces is perpendicular to their vector differen...

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  10. Three vectors veca,vecb and vecc satisfy the relation veca.vecb=0 and ...

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  11. Two quantities A and B have different dimensions. Which mathematical o...

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  12. If the dimension of a physical quantity are given by M^a L^b T^c, then...

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  13. If E , M , J , and G , respectively , denote energy , mass , angular m...

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  14. If E is the electric field intensity epsilon(0) is the permitivity of ...

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  15. Dimension of magnetic permeability is :

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  16. The dimension of magnetic field in M, L, T and C (Coulomb) is given as...

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  17. The density of material in CGS system is 4g// cm^(3). In a system of u...

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  18. Dimensional formula of DeltaQ, heat supplied to the system is given by...

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  19. Dimension of (1)/(mu(0)epsilon(0)) is, where symbols have usual meanin...

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  20. The dimension of the quantity vecExxvecB, where vecE represents the el...

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