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Which of the following conditions are su...

Which of the following conditions are sufficient and essential for a quantity to be a vector?

A

Magnitude and direction only

B

Magnitude and addition, subtraction, multiplication by rules of algebra

C

Magnitude, direction, and addition, subtraction and multiplication by vector laws

D

Magnitude, direction and combination of vectors by rules of algebra

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The correct Answer is:
C
A vector quantity is defined as the quantity which has magnitude and direction and for which all the mathematical operations are possible only through vector laws.
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DISHA PUBLICATION-MOTION IN A PLANE -Exercise -1 : CONCEPT BUILDER (TOPICWISE)
  1. Which of the following conditions are sufficient and essential for a q...

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  2. Let vecC=vecA+vecB

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  3. vecA and vecB are two vectors and theta is the angle between them, i...

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  4. If veca,vecbandvecc are unit vectors such that veca+vecb+vecc=0, then ...

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  5. Two forces are acting as shown in figure. The resultant of the two for...

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  6. What is the area of triangle formed by vecA=2hati-3hatj+4hatk and vecB...

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  7. If vecA=4hati+6hatj and vecB=2hati+3hatj . Then

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  8. Following three forces keep a body in equilibrium. vecF1=hati+3hatj+2h...

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  9. Forces of 4 N and 5 N are applied at origin along X-axis and Y-axis re...

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  10. The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors...

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  11. The linear velocity of a rotating body is given by vec(v)=vec(omega)xx...

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  12. The angles which the vector A=3hati + 6hatj+2hatk makes with the co-or...

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  13. The resultant of vecp and vecq makes angle alpha "with " vecp and be...

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  14. A vector of magnitude b is rotated through angle theta. What is the ch...

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  15. Given vecP. vecQ=|vecPxxvecQ| and vecR=vecP+vecQ then |vecR| is

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  16. P ,Q and R are three coplanar forces acting at a point and are in equi...

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  17. Three vectors vecA, vecB and vecC satisfy the relation vecA. vecB=0 an...

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  18. If rain falls vertically with a velocity Vr and wind blows with a velo...

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  19. A river flows with a speed more than the maximum speed with which a pe...

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  20. A ship A is moving westwards with a speed of 10 km h^(-1) and a ship B...

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