VECTORS 2D

Vector Addition

The process of combining two or more vectors to find a resultant vector.

Magnitude

The length or size of a vector, which represents the quantity of the vector.

Direction

The orientation of a vector in space, usually defined in terms of angles or compass directions.

Resultant Vector

The vector that results from adding two or more vectors together.

Angle of Elevation

The angle between the horizontal line and the line of sight to an object above the horizontal.

Newton's First Law

An object at rest stays at rest, and an object in motion stays in motion unless acted upon by an unbalanced force.

Newton's Second Law

The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

Newton's Third Law

For every action, there is an equal and opposite reaction.

Inertia

The tendency of an object to resist changes in its state of motion.

Components of a Vector

The projections of a vector along the axes of a coordinate system, usually resolved into x and y components.

Pythagorean Theorem

A fundamental relation in Euclidean geometry among the three sides of a right triangle, stating that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Trigonometric Functions

Functions such as sin, cos, and tan that relate the angles of a triangle to the ratios of its sides.

Bearing

A direction or path along which something moves or along which it lies, commonly used in navigation.

Complementary Angle

An angle which, when added to another angle, results in a right angle (90 degrees).

SI Unit of Force

Newton, defined as the force required to accelerate a one-kilogram mass at a rate of one meter per second squared.

What is vector addition?

The process of combining two or more vectors to find a resultant vector.

How is magnitude defined?

The length or size of a vector, which represents the quantity of the vector.

What defines the direction of a vector?

The orientation of a vector in space, usually defined in terms of angles or compass directions.

What is a resultant vector?

The vector that results from adding two or more vectors together.

What does angle of elevation refer to?

The angle between the horizontal line and the line of sight to an object above the horizontal.

State Newton's First Law.

An object at rest stays at rest, and an object in motion stays in motion unless acted upon by an unbalanced force.

What does Newton's Second Law state?

The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

What is Newton's Third Law?

For every action, there is an equal and opposite reaction.

What is inertia?

The tendency of an object to resist changes in its state of motion.

Define components of a vector.

The projections of a vector along the axes of a coordinate system, usually resolved into x and y components.