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Scalar quantities are added algebraically. But vector quantities are added using vector addition.
If 3 and 4 are added only 7 is the result. If two vectors with magnitude 3 and 4 are added there will be different results such as 7, 1, 5, etc etc.
7 will be the answer if both the vectors are in the same direction.
1 will be the answer if both are in opposite direction
5 will be the answer if both act perpendicular to each other.
Other innumerable answers are possible as both vectors act with different angles of inclination.
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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.
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 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.
Is scalar quantiy is added with vector quantity?
A scalar quantity added to a vector quantity is a complex quantity. An example is a complex number z = a + ib, a is the scalar and ib is the vector quantity.If the vector quantity is 3 dimensional, ib + jc + kd, then the scalar and vector forms a quaternion quantity.
Why vector quantities cannot be added or subtracted like scalar quantities?
SCALAR QUANTITIESPhysical 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.EXAMPLESWork, energy, electric flux, volume, refractive index, time, speed, electric potential, potential difference, viscosity, density, power, mass, distance, temperature, electric charge etc.VECTORS QUANTITIESPhysical quantities having both magnitude and directionwith 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. EXAMPLESVelocity, electric field intensity, acceleration, force, momentum, torque, displacement, electric current, weight, angular momentum etc. REPRESENTATION OF VECTORSOn 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
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.
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 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.
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
Is scalar quantiy is added with vector quantity?
A scalar quantity added to a vector quantity is a complex quantity. An example is a complex number z = a + ib, a is the scalar and ib is the vector quantity.If the vector quantity is 3 dimensional, ib + jc + kd, then the scalar and vector forms a quaternion quantity.
Why cant a vector quantity be added to a scalar quantity?
vector quantity is magnitute and direction scalar is magnitute only
Can you add zero to a null vector?
scalar cannot be added to a vector quantity
Can a vector be added to a scalar?
No- vector ad scalar are two different things. Scalar consists only of magnitude, whereas vector consists both magnitude and direction.
Can a null vector be added to zero?
No, a vector cannot be added to a scalar. You could multiply a null vector by zero (and you'd get the null vector), but you can't add them.
Why vector quantities cannot be added or subtracted like scalar quantities?
SCALAR QUANTITIESPhysical 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.EXAMPLESWork, energy, electric flux, volume, refractive index, time, speed, electric potential, potential difference, viscosity, density, power, mass, distance, temperature, electric charge etc.VECTORS QUANTITIESPhysical quantities having both magnitude and directionwith 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. EXAMPLESVelocity, electric field intensity, acceleration, force, momentum, torque, displacement, electric current, weight, angular momentum etc. REPRESENTATION OF VECTORSOn 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
Can Vectors be added together scalar quantities cannot?
Vectors can be added to other vectors in the same vector space. Scalars can be added to other scalars if they have the same units. Scalars cannot be added to vectors, nor vice versa, directly.
Scalar and Vector quantities?
Scalar quantities have only magnitude. Examples: time, mass, distance, volume, work, power, electric charge, electric current, pressure, moment of inertia In adding scalar quantities we follow algebraic addition. For example if 5 C and -3 C charges have to added then the total will not be 8 but it will be +5-3. So it will become +2 C If -40 C is added with +30 C then the total will be -10 C But vector quantities are having direction apart from magnitude. So both magnitude and direction. Examples: Area, displacement, velocity, acceleration, force, momentum, torque, even angle is considered to be vector. If angle is measured right from X axis in anti clockwise then it will taken as positive and it will be along +z direction ie perependicular to the plane XY While adding vector quantities we follow vector addition, so parallelogram law is followed. IF the same angle is measure right from X direction in clockwise then it will be negative and acts along negative Z direction.
