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

Question

Which of the following conditions are sufficient and essential for a quantity to be a vector? (A) Magnitude and direction (B) Magnitude and addition, subtraction, multiplication by ordinary rules of algebra (C) Magnitude, direction, and addition, subtraction multiplication and division by vector laws (D) Magnitude, direction and combination of vectors by ordinary rules of algebra

Tardigrade Admin · Accepted Answer

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.

Q. 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

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.