# 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.