How are scalar quantities different from vector quantities?

Answer 1

Vectors are quantities that have a size and a direction.

Examples: Displacement, velocity, acceleration, momentum, force.

Scalars are quantities that have a size but no direction.

Examples: Temperature, cost, speed, length, height, width, age, energy.

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Scalar quantities have only magnitude. Vector quantities have both magnitude and direction. Temperature and volume are scalar because they don't have a particular direction.

Velocity and Force (because acceleration actually has a direction) are vector quantities.

Velocity is the combination of the scalar quantity of speed with a direction for that speed. Speed is always a positive number but velocity can be negative and positive because it has a direction.

Answer 2

A vector differs from a scalar in that the vector has a direction in a dimensional sense. Mathematically, the square of a vector is negative and the square of a scalar is positive.

Unfortunately Vectors used in physics are mathematically defective in that the square of J. Willard Gibbs Vectors is positive and nonassociative as a result. Willaim Rowana Hamilton invented vectors and his rule is i^2=j^2=k^2=ijk=1. Tghis is the porper distinction of vectors.

it has direction

Answer 3

Vector quantities have direction as well as magnitude

Vector:

-displacement (10 m North)

-velocity (100 mph south)

Scalar

-distance (10 m)

-speed (100 mph)

Answer 4

Scalars represent a single measure, such as the speed of something. All cars going 30 miles an hour have a speed of 30 miles per hour, no matter in which direction they travel.

Vectors combine magnitude (how large) with a second data item such as directionality. Thus, a car traveling due north at 30 miles per hour has a velocity (note the change of speed, a scalar, to velocity, a vector) of 30 miles per hour north. Another car might have a velocity of 30 miles per hour 10 degrees clockwise of north.

A scalar is one dimensional. It is charted along a single axis. Vectors have two or more dimensions and are charted multidimensional.

Answer 5

Scalars are quantities that only have a length, not a direction. A vector is something that has a length and a direction. A vector is commonly used in maths and it comes in the form of an arrow which has both a direction and a distance. An example of a scalar would be time as time flows forwards at different rates across the universe but across all of these rates you will never find that time has a direction. You can't say I'll be there in 5 minutes in 20 meters.

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Scalar has only magnitude. Examples: Time, distance, speed, mass, work, power, energy, frequency, moment of inertia, electric charge, electric current etc.

Vector has both magnitude and direction. Examples: displacement, velocity, momentum, acceleration, force, magnetic field induction, electric field intensity. Even area has to be considered as vector. The beauty is length is a scalar and electric current is also a scalar. But combination of these two would be considered as vector. The current direction would be handed over to the length and thereby " i dl" would be considered as vector.

Answer 6

Scalar quantities have only magnitude, while vector quantities have both magnitude and direction. Scalar quantities can be represented by a single number, while vector quantities require both a magnitude and a direction to be fully described. Examples of scalar quantities include time, temperature, and energy, while examples of vector quantities include displacement, velocity, and force.

Answer 7

A scalar quantity defines only magnitude, while a vector quantity defines both a magnitude and direction.

Answer 8

A vector contains both magnitude and direction, a scalar only contains magnitude.

Answer 9

Scalar quantities have only magnitude (numerical value) such as length.

Vectors on the other hand, have magnitude AND direction, such as acceleration.