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What do vectors and scalars have in common? How do they differ?

a) Both have magnitude - They differ in having direction.
b) Both have direction - They differ in having magnitude.
c) Both lack magnitude and direction.
d) Both have magnitude and direction.

User Mikeck
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Final answer:

Vectors and scalars both have magnitude, but they differ in having direction. For example, distance is a scalar because it only has magnitude, but displacement is a vector because it has both magnitude and direction.

So, the correct answer is d) Both have magnitude and direction.

Step-by-step explanation:

Vectors and scalars both have magnitude, but they differ in having direction.

A scalar is a physical quantity with magnitude only, while a vector is a physical quantity with magnitude and direction. For example, distance is a scalar because it only has magnitude, but displacement is a vector because it has both magnitude (the length of the path) and direction (the direction of the path).

Vectors and scalars have in common that they both can have magnitude. Magnitude refers to the size or amount of a quantity. However, they differ in the presence of direction:

Vectors have both magnitude and direction. Examples of vectors include displacement, velocity, and force. For instance, velocity is a vector quantity because it has both a magnitude (speed) and a direction.

Scalars have only magnitude and no direction. Examples of scalars include mass, distance, and speed. For instance, speed is a scalar quantity because it only has a magnitude and does not specify a direction.

User Crwydryn
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