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Why vector quantities cannot be added and subtracted like scalar quantities?
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.
Can scalar quantities be added together?
Yes, scalar quantities can be added, as long as they are the same dimension and you keep units straight. For example you cannot add cubic meters to square meters. But (especially in the imperial system) pounds and ounces, or feet and inches are added, and displayed in that fashion. Minutes and seconds is another.
Can Scalar and vector quantities be added by the same method?
No, scalar can be added together directly, whereas vectors can only add their separate components together.
Why area is scalar?
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.
What are scalar and vector forces?
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.
Why vector quantities cannot be added and subtracted like scalar quantities?
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.
Can scalar quantities be added together?
Yes, scalar quantities can be added, as long as they are the same dimension and you keep units straight. For example you cannot add cubic meters to square meters. But (especially in the imperial system) pounds and ounces, or feet and inches are added, and displayed in that fashion. Minutes and seconds is another.
Can Scalar and vector quantities be added by the same method?
No, scalar can be added together directly, whereas vectors can only add their separate components together.
Is it possible to add a scalar to a vector?
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.
Similarities between scalar and vector quantities?
Scalar quantities - quantities that only include magnitude Vector quantities - quantities with both magnitude and direction
Why area is scalar?
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.
Why distance is scalar quantities?
it has no direction
What are scalar and vector forces?
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.
Are force and acceleration scalar quantities?
No. Force and acceleration are vector quantities.
What are the different derived quantities?
Scalar and vector quantities. Scalar quantities only have magnitude, like the volume of an object. Vectors have both magnitude and direction, like the velocity of an object.
What are the quantities that identifies scalar and vector quantities?
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.
Is work and energy scalar or vector quantities explain?
It is scalar. This simply means that - unlike vector quantities - energy is not defined in a particular direction.
