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What is the definition of a vector?

What is the definition of a vector?

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Answer #1

A physical quantity is said to be a vector physical quantity if it has magnitude (value), direction and it should satisfy the vector law of addition.

A vector quantity can have different magnitudes (vector components) in different directions. Like projection of vector in different directions may have different values.

A quantity which has magnitude and direction but doesnot satisfy the vector law of addition is NOT a vector physical quantity. (electric current is a scalar even though it has both magnitude and direction)

Vector law of addition: If two vectors are represented as two sides of a triange taken in order then the sum of two vectors can be represented as third side of a vector taken in reverse order.

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