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Can a scalar quantity be made into a vector quantity by adding a direction to its magnitude why or why not?
Yes this happens in case of area. Usually area is a scalar quantity. But we provide the direction of course perpendicular to its plane area we make it as a vector. Same way though electric current is not a vector it is sensed as vector as we put along with length of conductor. I is scalar but Idl is vector.
Is momentum a scalar quality?
A vector quantity is one which transforms like the coordinates. In other words, if a coordinate system is transformed by an operator , any vector quantity in the old coordinate system can be transformed to its equivalent in the new system by the same operator. An example of a vector quantity is displacement (r). If displacement is a vector, the rate of change of displacement (dr/dt) or the velocity is also a vector. The mass of an object (M) is a scalar quantity. Multiplying a vector by a scalar yields a vector. So momentum, which is the mass multiplied by velocity, is also a vector. Momentum too transforms like the coordinates, much like any other vector. The definition of a vector as a quantity having "magnitude and direction" is simply wrong. For example, electric current has "magnitude and direction", but is a scalar and not a vector.
What does distance and displacement have in common?
Actually the only difference between them is of the direction. Distance is a scalar quantity and the displacement is the vector quantity. They are always same in Unit . They are also same in magnitude while at in straight line motion.
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 age a vector or scalar?
Scalar. The simple reason is unlike velocity or other vector quantities, it doesn't have a direction, it has a fixed path. Like; age cannot decrease but only increase in the same way for each person.
Can a scalar quantity be made into a vector quantity by adding a direction to its magnitude why or why not?
Yes this happens in case of area. Usually area is a scalar quantity. But we provide the direction of course perpendicular to its plane area we make it as a vector. Same way though electric current is not a vector it is sensed as vector as we put along with length of conductor. I is scalar but Idl is vector.
Is momentum a scalar quality?
A vector quantity is one which transforms like the coordinates. In other words, if a coordinate system is transformed by an operator , any vector quantity in the old coordinate system can be transformed to its equivalent in the new system by the same operator. An example of a vector quantity is displacement (r). If displacement is a vector, the rate of change of displacement (dr/dt) or the velocity is also a vector. The mass of an object (M) is a scalar quantity. Multiplying a vector by a scalar yields a vector. So momentum, which is the mass multiplied by velocity, is also a vector. Momentum too transforms like the coordinates, much like any other vector. The definition of a vector as a quantity having "magnitude and direction" is simply wrong. For example, electric current has "magnitude and direction", but is a scalar and not a vector.
What does distance and displacement have in common?
Actually the only difference between them is of the direction. Distance is a scalar quantity and the displacement is the vector quantity. They are always same in Unit . They are also same in magnitude while at in straight line motion.
Is a 100 yard dash a scalar or vector quantity?
Scalar because you give only the distance, not direction as well. It would also be scalar if you had quoted only the speed (not velocity), for the same reason. A vector has magnitude and direction.
What is it called when a scalar and a vector are multiplied together?
When a scalar quantity(if it has positive magnitude) is multiplies by a vector quantity the product is another vector quantity with the magnitude as the product of two vectors and the direction and dimensions same as the multiplied vector quantity e.g. MOMENTUM
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 overall velocity the same as average speed?
No, velocity is a vector quantity (i.e. magnitude & direction) while speed is a scalar quantity (i.e. magnitude only).
Is age a vector or scalar?
Scalar. The simple reason is unlike velocity or other vector quantities, it doesn't have a direction, it has a fixed path. Like; age cannot decrease but only increase in the same way for each person.
When a vector is multiplied by a scalar physical quantitythen what will be dimensions of resulting vector?
The same as the original vector. The scalar will change the numbers, but not the dimensions.
What is the result of multiplying vector components by a scalar?
If the scalar is > 1 the resultant vector will be larger and in the same direction. = 1 the resultant vector will be the same as the original vector. between 0 and 1 the resultant vector will be smaller and in the same direction. = 0 the resultant vector will be null. If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.
Is energy scalar or vector quantity?
A vector has magnitude and direction. A scalar has magnitude only. A car moving 60 mph North has a specific amouunt of kinetic energy, according to the formula KE = 1/2 * mass * velocity squared. If the car is moving 60 mph South is the KE the same?? ..Yes! Energy is a scalar! Nothing squared is a vector!! Length has direction. area does not
Is force a vector quantity?
A "vector quantity" is any quantity where the direction matters. In the case of a force, the end result is not the same whether you and I pull an object in the same direction; in opposite directions; or perhaps at a right angle. Briefly, the direction of the force is relevant.
