Motion in a Plane: Scalar Quantities, and Vector Quantities (For CBSE, ICSE, IAS, NET, NRA 2022)

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Motion in a Plane

  • The Physical Quantities like Work, Temperature and Distance Can Be Represented in Day-to-Day Life Wholly by Their Magnitude Alone.
  • Though, Relation of These Physical Quantities Can Be Explained by the Laws of Arithmetic.
  • To Represent Physical Quantities like Acceleration, Displacement, and Force, the Direction is Equally Essential Along with the Magnitude.

What is Motion in a Plane?

  • Motion in a Plane is the Motion in Dimensions, for Instance, Projectile Motion, and Circular Motion and So on.
  • Reference to Analyze a Dimensional Motion Will Be the Origin with Two Coordinate Axes i.e.. , and .

The Equations of Motion in a Straight Line Are:

Where,

  • V = Final Velocity of the Particle
  • U = Initial Velocity of the Particle
  • S = Displacement of the Particle
  • A = Acceleration of the Particle
  • T = Time Interval in Which the Particle is in Consideration

Scalar Quantities

  • Scalar Quantities Are Those Physical Qualities That Can Be Specified Completely by Their Magnitude Alone.
  • In Physics It is One That Can Be Described by a Single Element of a Number Field Such as a Real Number, Often Accompanied by Units of Measurement.
  • The Examples of Scalar Quantities Are Mass, Density, Temperature, Length, Work, Speed, Etc.
  • A Scalar is Usually Said to Be a Physical Quantity That Only Has Magnitude, Possibly a Sign, and No Other Characteristics

Vector Quantities

  • Vector Quantities Are Specified by Both Magnitude and Direction.
  • The Examples of Vector Quantities Are Displacement, Acceleration, Momentum, Velocity, Torque, Force, Etc.
  • It Refers to the Physical Quantities Characterized by the Presence of Both Magnitude as Well as Direction.
  • The Direction of Any Vector Quantity is Specified by a Unit Vector. Vectors Lying in the Same or Parallel to the Same Plane Are Called Coplanar Vectors.

Difference between Scalar and Vector

Difference between Scalar and Vector
Table of Vector and Scalar
VectorScalar
DefinitionA physical quantity with both the magnitude and direction.A physical quantity with only magnitude.
RepresentationA number (magnitude) , direction using unit cap or arrow at the top and unitA number (magnitude) and unit
SymbolQuantity Symbol in bold and an arrow sign aboveQuantity symbol
DirectionYesNo
ExampleVelocity and AccelerationMass and Temperature