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Why vector quantities cannot be added or subtracted like scalar quantities?
Wiki User
∙ 11y ago
SCALAR QUANTITIES
Physical quantities which can completely be specified by a number (magnitude)
having an appropriate unit are known as "SCALAR QUANTITIES".
Scalar quantities do not need direction for their description.
Scalar quantities are comparable only when they have the same physical dimensions.
Two or more than two scalar quantities measured in the same system of units are equal if they have the same magnitude and sign.
Scalar quantities are denoted by letters in ordinary type.
Scalar quantities are added, subtracted, multiplied or divided by the simple rules of algebra.
EXAMPLES
Work, energy, electric flux, volume, refractive index, time, speed, electric potential, potential difference, viscosity, density, power, mass, distance, temperature, electric charge etc.
VECTORS QUANTITIES
Physical quantities having both magnitude and direction
with appropriate unit are known as "VECTOR QUANTITIES".
We can't specify a vector quantity without mention of deirection.
vector quantities are expressed by using bold letters with arrow sign such as:
vector quantities can not be added, subtracted, multiplied or divided by the simple rules of algebra.
vector quantities added, subtracted, multiplied or divided by the rules of trigonometry and geometry. EXAMPLES
Velocity, electric field intensity, acceleration, force, momentum, torque, displacement, electric current, weight, angular momentum etc. REPRESENTATION OF VECTORS
On paper vector quantities are represented by a straight line with arrow head pointing the direction of vector or terminal point of vector. A vector quantity is first transformed into a suitable scale and then a line is drawn with the help of the scale choosen in the given direction. 
By : Shoaibbilal64@Yahoo.com
Mireille Rempel
Vincent Hilpert
SCALAR QUANTITIES
Physical quantities which can completely be specified by a number (magnitude)
having an appropriate unit are known as "SCALAR QUANTITIES".
Scalar quantities do not need direction for their description.
Scalar quantities are comparable only when they have the same physical dimensions.
Two or more than two scalar quantities measured in the same system of units are equal if they have the same magnitude and sign.
Scalar quantities are denoted by letters in ordinary type.
Scalar quantities are added, subtracted, multiplied or divided by the simple rules of algebra.
EXAMPLES
Work, energy, electric flux, volume, refractive index, time, speed, electric potential, potential difference, viscosity, density, power, mass, distance, temperature, electric charge etc.
VECTORS QUANTITIES
Physical quantities having both magnitude and direction
with appropriate unit are known as "VECTOR QUANTITIES".
We can't specify a vector quantity without mention of deirection.
vector quantities are expressed by using bold letters with arrow sign such as:
vector quantities can not be added, subtracted, multiplied or divided by the simple rules of algebra.
vector quantities added, subtracted, multiplied or divided by the rules of trigonometry and geometry. EXAMPLES
Velocity, electric field intensity, acceleration, force, momentum, torque, displacement, electric current, weight, angular momentum etc. REPRESENTATION OF VECTORS
On paper vector quantities are represented by a straight line with arrow head pointing the direction of vector or terminal point of vector. A vector quantity is first transformed into a suitable scale and then a line is drawn with the help of the scale choosen in the given direction.
By : Shoaibbilal64@Yahoo.com
Wiki User
∙ 11y agoSCALAR QUANTITIES
Physical quantities which can completely be specified by a number (magnitude)
having an appropriate unit are known as "SCALAR QUANTITIES".
Scalar quantities do not need direction for their description.
Scalar quantities are comparable only when they have the same physical dimensions.
Two or more than two scalar quantities measured in the same system of units are equal if they have the same magnitude and sign.
Scalar quantities are denoted by letters in ordinary type.
Scalar quantities are added, subtracted, multiplied or divided by the simple rules of algebra.
EXAMPLES
Work, energy, electric flux, volume, refractive index, time, speed, electric potential, potential difference, viscosity, density, power, mass, distance, temperature, electric charge etc.
VECTORS QUANTITIES
Physical quantities having both magnitude and direction
with appropriate unit are known as "VECTOR QUANTITIES".
We can't specify a vector quantity without mention of deirection.
vector quantities are expressed by using bold letters with arrow sign such as:
vector quantities can not be added, subtracted, multiplied or divided by the simple rules of algebra.
vector quantities added, subtracted, multiplied or divided by the rules of trigonometry and geometry. EXAMPLES
Velocity, electric field intensity, acceleration, force, momentum, torque, displacement, electric current, weight, angular momentum etc. REPRESENTATION OF VECTORS
On paper vector quantities are represented by a straight line with arrow head pointing the direction of vector or terminal point of vector. A vector quantity is first transformed into a suitable scale and then a line is drawn with the help of the scale choosen in the given direction.
By : Shoaibbilal64@Yahoo.com
Wiki User
∙ 10y agoAnswer: Because the direction of a vector quantity, like force, makes a difference,
but a scalar quantity, like cost, has no direction.
Answer: Because it isn't a scalar quantity. However, you can add the components - for example, the components in the x and y direction - using regular addition.
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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.
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.
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.
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.
Is volt a vector quantity?
no volt is not a vector quantity because it has no direction and it can be added or subtracted as scalar quantities. volt in electrostatics is analogous to vertical height in mechanics . vertical height have a value for every place but no direction and height can be added or subtracted as scalar
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.
Similarities between scalar and vector quantities?
Scalar quantities - quantities that only include magnitude Vector quantities - quantities with both magnitude and direction
Diffrentiate between vector and scalar quantities?
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
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.
Are force and acceleration scalar quantities?
No. Force and acceleration are vector quantities.
What is vector acceleration?
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"
How are scalar and vector quantities similar?
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
