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Question
what is a vector quantity? a quantity that only has magnitude a quantity that only has direction a quantity that has neither magnitude nor direction a quantity that has both magnitude and direction
A vector quantity is defined as a quantity that has both magnitude (size or amount) and direction. For example, velocity is a vector as it tells how fast an object is moving (magnitude) and in which direction it is moving. In contrast, a scalar quantity (like mass or temperature) has only magnitude. The first option describes a scalar, the second option is an incorrect description (a quantity must have magnitude to be physically meaningful in most cases for such basic definitions), the third option is also incorrect as all physical quantities we consider in basic vector - scalar discussions have either magnitude (scalar) or magnitude and direction (vector).
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A quantity that has both magnitude and direction