What is a vector?

Vectors are quantities that have both ** magnitude and direction**.

A vector may be decomposed into its x- and y-components as shown:

The x and y components of a vector can be calculated using the following formula?

The Scaler dot product of two vectors can be defined as:

The dot product of two vectors is a ....... quantity?

scalar

Show that:

The rule of the three dimensional coordinate system:

A three-dimensional coordinate system MUST obey the right-hand rule.

Curl the fingers of your RIGHT HAND so they go from x to y. Your thumb will point in the z direction.

What is the cross product of two vectors?

The cross product of two vectors says something about how perpendicular they are. You will find it in the context of rotation, or twist.

The equation for the cross product of vectors A and B.

Cross Product: Rule surrounding the direction perpendicular to both A & B.

How is the calculation for the cross product of two variable carried out?

Right-hand rule for DIRECTION of vector cross product

Derivation of the cross product calculations

The Cartesian coordinate system.

Cylindrical-coordinate systems?

Spherical coordinate systems?