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Definition | Vectors

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Vectors
Vector Algebra
  1. Definition
  2. Notation
  3. Components of a Vector
  4. Magnitude
  5. Types of Vectors
  6. Addition of Vectors
  7. Subtraction of Vectors
  8. Dot Product of Vectors & Properties
  9. Cross Product of Vectors & Properties
Problems
  1. If A and B are 2 points, Find AB
  2. Angle Between Body Diagonals
  3. Vector Perpendicular to Any Vector
  4. Unit Vector Normal to the Curve
  5. Find Orthogonal Vector
  6. Three Unit Vectors

Definition | Vectors

In physics and mathematics, we generally deal with two kinds of quantities and these quantities are: 

  • Scalar
  • Vector

Scalar

A scalar is a quantity that has a magnitude only. 

e.g. Temperature, Time, Length, Distance, Speed, etc.

Vector

Quantities that have magnitude and direction both are called vectors.

e.g. velocity, force momentum, torque, electric field, etc.

 

Illustration #1: Velocity Vector and Speed Relation

A velocity vector has a magnitude and a direction, its magnitude is called speed.

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