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Scalar Quantities

Most of the physical quantities encountered in physics are either scalar or vector quantities. A scalar quantity is defined as a quantity that has magnitude only. Typical examples of scalar quantities are time, speed, temperature, and volume. A scalar quantity or parameter has no directional component, only magnitude. For example, the units for time (minutes, days, hours, etc.) represent an amount of time only and tell nothing of direction. Additional examples of scalar quantities are density, mass, and energy.

Vector Quantities

A vectorquantity is defined as a quantity that has both magnitude and direction. To work with vector quantities, one must know the method for representing these quantities. Magnitude, or "size" of a vector, is also referred to as the vector's "displacement." It can be thought of as the scalar portion of the vector and is represented by the length of the vector. By definition, a vector has both magnitude and direction. Direction indicates how the vector is oriented relative to some reference axis, as shown in Figure 1. Using north/south and east/west reference axes, vector "A" is oriented in the NE quadrant with a direction of 45 north of the o EW axis. G iving direction to scalar "A" makes it a vector. The length of "A" is representative of its magnitude or displacement.

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A scalar quantity refers only to the magnitude of the quantity and answers the question how much. Ex. height, weight, volume, and the like. 2 lbs of sugar is scalar, 4 m long is scalar

A vector quantity refers to both magnitude and direction and answers how much and where is it going, (in that sense)

Ex. forces, velocity. 200 km/hr at N30degE is a vector, the force required to push a drum up or down a ramp is a vector, the force exerted by the cue stick in billiards is a vector a scalar is a number, like a distance... like the moon is 300.000km away from earth.

a vector is a number AND a direction. It's like "moving east at 100km/h"

while "moving at 100km/h" alone is a scalar.

The idea is that a scalar has only ONE dimension, while a vector has several.

Q: What are some examples of scalar and vector quantities?

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It is not possible the addition of scalars as well as vectors because vector quantities are magnitude as well as direction and scalar quantities are the only magnitude; they have no directions at all. Addition is possible between scalar to scalar and vector to vector. Under some circumstances, you may be able to treat scalar quantities as being along some previously undefined dimension of a vector quantity, and add them that way. For example, you can treat time as a vector along the t-axis and add it to an xyz position vector in 3-space to come up with a four-dimensional spacetime vector.

A vector quantity refers to a physical quantity that has both magnitude and direction. Some examples of vector quantities include velocity (speed and direction), force (magnitude and direction), and displacement (distance and direction).

The null vector, also called the zero vector, is a vector a, such that a+b=b for any vector b. Also, b+( -b)=a An example in R3 is the vector <0,0,0> Here are some examples of its use <2,2,2>+<-2,-2,-2>=<0,0,0> <2,2,2>+<0,0,0>=<2,2,2>

A measurement that has magnitude and direction. The magnitude is equal to the absolute value of the vector measurement. For example, Velocity is a vector measurement. A velocity of -20 miles per 1 second would suggest moving away from the origin point in a two-dimensional measurement at a rate of 20 miles per 1 second. The absolute value of this would be 20 miles per 1 second, which would also be the speed. Therefore, speed is the magnitude of Velocity. Subsequently, any measurement that has a magnitude, but no direction, is not a Vector measurement, but rather a scalar measurement. Some examples of vector measurements would be Displacement, Velocity, and Acceleration.

A large list of SI derived units can be found at the related links.

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Scalar quantities are defined as quantities that have only a mganitude. Vector quantities have magnitude and direction. Some example of this include Scalar Vector Mass Weight length Displacement Speed Velocity Energy Acceleration

Scalar - a variable quantity that cannot be resolved into components. Most of the physical quantities encountered in physics are either scalar or vector quantities. A scalar quantity is defined as a quantity that has magnitude only. Typical examples of scalar quantities are time, speed, temperature, and volume. A scalar quantity or parameter has no directional component, only magnitude. For example, the units for time represent an amount of time only and tell nothing of direction. Vector - a variable quantity that can be resolved into components. A vectorquantity is defined as a quantity that has both magnitude and direction. To work with vector quantities, one must know the method for representing these quantities. Magnitude, or "size" of a vector, is also referred to as the vector's "displacement." It can be thought of as the scalar portion of the vector and is represented by the length of the vector. By definition, a vector has both magnitude and direction. Direction indicates how the vector is oriented relative to some reference axis.

Scalar - a variable quantity that cannot be resolved into components. Most of the physical quantities encountered in physics are either scalar or vector quantities. A scalar quantity is defined as a quantity that has magnitude only. Typical examples of scalar quantities are time, speed, temperature, and volume. A scalar quantity or parameter has no directional component, only magnitude. For example, the units for time represent an amount of time only and tell nothing of direction. Vector - a variable quantity that can be resolved into components. A vectorquantity is defined as a quantity that has both magnitude and direction. To work with vector quantities, one must know the method for representing these quantities. Magnitude, or "size" of a vector, is also referred to as the vector's "displacement." It can be thought of as the scalar portion of the vector and is represented by the length of the vector. By definition, a vector has both magnitude and direction. Direction indicates how the vector is oriented relative to some reference axis.

It is not possible the addition of scalars as well as vectors because vector quantities are magnitude as well as direction and scalar quantities are the only magnitude; they have no directions at all. Addition is possible between scalar to scalar and vector to vector. Under some circumstances, you may be able to treat scalar quantities as being along some previously undefined dimension of a vector quantity, and add them that way. For example, you can treat time as a vector along the t-axis and add it to an xyz position vector in 3-space to come up with a four-dimensional spacetime vector.

Frequency is a scalar quantity,now comes the question how to decide which one is scalar and which one is vector,scalar quantities are those which only have values and we can't assosciate any direction to them ,whereas,vector quantities are those which have values as well as directions assosciated with them.For example,time is a scalar quantity because we say its 10:30 pm we never say its 10:30 pm south-west,where as if we say the wind is blowing at 30 m/sec towards north(this particular thing is called velocity)then it is a vector quantity. some more examples:-300 degree celcius(scalar),76.8%(scalar),5 meters north(vector)

Vector quantities are quantities that have directionality as well as magnitude. Displacement (meters North) vs Distance (meters) Velocity (meters per second North) vs Speed (meters per second)

Some Physics definitions ignore the real world of Nature. Forces and distances are four dimensional including real and vector quantities. Work is defined as the scalar product of two vectors and ignores the scalar cross distances and vector cross products..Gravity is a scalar force and gravitatinal potential energy is mgh where mg is a scalar force and h is a scalar distance. This is not called work because it is not the scalar product of two vectors.Nature and Physics involves scalar and vector quantities, in other words Quaternion quantities. The Quaternion product of force and distance is:(f + F)(d + D) = (fd - F.D) + (fD + dF + FxD).Physics only defines work as F.D and ignores the other 'work' including Torque,FxD.

Those quantities which cannot be derived from any other such as length, mass, time, temperature, electric current, light luminosity are examples for fundamental physical quantities.

A vector quantity refers to a physical quantity that has both magnitude and direction. Some examples of vector quantities include velocity (speed and direction), force (magnitude and direction), and displacement (distance and direction).

A vector has a magnitude and a direction. A scalar is only a magnitude. For example, If I say that I am going 60 m/s, that I have described my speed as a scalar value. If I say I am going 60 m/s due east, I have described both my speed and direction and therefore it is a vector.

Some examples of a vector quantity would be a car or a plane.

Because it is: * A property of physical objects * Something that can be measured (or calculated from other quantities) Hmm, it is certainly not a physical quantity that is unique to the object! Velocity is relative to some other object. Thus, the can he threw traveled at 12m/s relative to the tree but 220m/s relative to that car.