Which of the following conditions are sufficient and essential for a quantity to be a vector?
Magnitude and direction
Magnitude and addition, subtraction, multiplication by ordinary rules of algebra
Magnitude, direction, and addition, subtraction multiplication and division by vector laws
Magnitude, direction and combination of vectors by ordinary rules of algebra
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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 of algebra.
It is found that . This necessarily implies,
and are antiparallel
and are perpendicular
A.B
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