A vector is a quantity that has both magnitude and direction, represented as an arrow. Examples include displacement, velocity, and force.

A scalar quantity has only magnitude and no direction, such as mass, temperature, or distance.

Two vectors are equal if they have the same magnitude and direction, denoted as A = B.

The velocity vector is defined as v = Δr/Δt, where Δr is the change in position and Δt is the time interval.

The triangle law states that if two vectors are placed head to tail, the resultant vector is the vector from the tail of the first to the head of the second.

Multiplying a vector by a negative number reverses its direction while keeping the magnitude the same.

Uniform circular motion is the motion of an object moving in a circle at a constant speed, involving a constant change in direction.

|v| represents the magnitude (absolute value) of the vector v.

A null vector or zero vector has a magnitude of zero and no direction, defined as A - A = 0.

Distance is a scalar and the total path covered, while displacement is a vector and the shortest straight line between initial and final positions.

The parallelogram law states that the sum of two vectors can be represented as the diagonal of a parallelogram formed by placing the vectors tail to tail.

In the head-to-tail method, vectors are placed such that the tail of one vector starts at the head of another vector; the resultant is drawn from the tail of the first to the head of the last.

A position vector denotes the position of a point in space relative to an origin, represented as OP = r.

The acceleration vector describes the rate of change of velocity with time, represented as a = Δv/Δt.

Projectile motion is the motion of an object thrown into the air, subject to gravity, with a parabolic trajectory.

Computation of vectors involves performing operations like addition, subtraction, and scalar multiplication on vector quantities.

Vectors can be represented graphically as arrows where the length represents magnitude and the arrowhead indicates direction.

Two vectors are equal if they have the same magnitude and direction; shifting them parallel without changing their properties maintains their equality.