A vector quantity is a quantity that has both magnitude and direction. Velocity, acceleration, and force are examples of vector quantities.
A scalar quantity is a quantity that has magnitude, but no direction. Time, mass, volume, and speed are examples of scalar quantities.
In simple terms, a scalar is a quantity such as temperature, pressure, density, mass, energy etc. which can be quantified with a single number. That is, a scalar has a magnitude but no direction.
Similarly, a vector is a quantity such as displacement, velocity, force, electric field etc. which has not only a magnitude but also a direction in space.
Scalars, being ordinary numbers, can be added together, multiplied etc. in the normal way.
The algebra of vectors is a little more complex:
(1) Given two vectors a and b, we can form the sum a + b using the parallelogram law (see the related links).
(2) Given a vector a and a scalar k, we can multiply them to obtain a new vector ka having the same (or directly opposite) direction as a, but with its length multiplied by k. (Note: if k is negative then the new vector's direction is opposite to a's; otherwise the directions are the same.)
(3) Given two vectors, we can form their scalar producta⋅b (also known as the dot product). This is a scalar value, given by the product of the vectors' magnitudes with the cosine of the angle between them. Equivalently, the scalar product is the magnitude of the first vector multiplied by the length of the projection of the second vector onto the first.
(4) Given two vectors, we can also form their vector product a×b (also known as the cross product). This is a vector at right angles to both the original vectors, having a magnitude equal to the product of the original vectors' magnitudes with the sine of the angle between them. There is a subtlety here involving handedness; see the related links for more information.
All of the above operations have practical uses in physics, particularly in Newtonian mechanics and classical electromagnetism.
A scalar quantity only has magnitude (how much). Like Mass. A vector quantity has magnitude and direction. Like Force.
An object being pushed upwards by one Newton of force and from the side by two Newtons of force, for example, might be illustrated with one vector arrow pointing upward from the center of the object and another, twice as long, pointing from the center of the object to the side. Such illustrations are invaluable in physics, because they allow one to apply mathematics (trigonometry, in this case) to determine the resulting force (scalar) and direction (vector).
vector quantity is thyat quantity which hasa magnitudeand direction.e.g area is a vector quantity.it has a magnitude and direction along the perpendicular to the surface of the area
a scalar quantutity is that quantity which has only magnitude.
A scalar quantity is one which has only magnitude. Example: Mass A vector quantity is one which has both magnitude and direction. Example: Weight (It acts downwards)
There is no such thing as scalar and vector forces. However, there are scalar and vector QUANTITIES, and force is a vector quantity, as all forces have direction and magnitude. Scalar quantities, on the other hand, have only magnitude and no direction.
It is scalar. This simply means that - unlike vector quantities - energy is not defined in a particular direction.
To make it easy, vector quantities have a direction aswell as a magnitude.While scalar quantities just have a magnitudeAn example of a scalar quantity is "Speed" and the vector quantity would be "Velocity"
Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.
Scalar quantities are described by a number alone, while vector quantities require a number and a direction, and as area cannot have an associated direction, must be scalar.
There is no such thing as scalar and vector forces. However, there are scalar and vector QUANTITIES, and force is a vector quantity, as all forces have direction and magnitude. Scalar quantities, on the other hand, have only magnitude and no direction.
Scalar quantities - quantities that only include magnitude Vector quantities - quantities with both magnitude and direction
A vector is characterized by having not only a magnitude, but a direction. If a direction is not relevant, the quantity is called a scalar.
It is scalar. This simply means that - unlike vector quantities - energy is not defined in a particular direction.
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
No. Force and acceleration are vector quantities.
To make it easy, vector quantities have a direction aswell as a magnitude.While scalar quantities just have a magnitudeAn example of a scalar quantity is "Speed" and the vector quantity would be "Velocity"
Scalar and vector quantities give magnitude, and that makes them similar. The difference is that the vector quantity gives direction as well as magnitude. plz check out this for further details vHMnGsOrU5A
scalar quantity has only magnitude whereas vector quantity has magnitude as well as direction
scalar quantities have magnitude only while vector quantities have both magnitude and direction. e.g.s of scalar quantities- distance, mass, temperature, speed e.g.s of vector quantities-displacement, velocity, acceleration, weight, force
Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.
Vector quantities are those that must be described with both a magnitude and direction. Scalar quantities can be described with only a single value.