Cartesian Vector Notation

Cartesian vector notation is a valuable tool in mechanical engineering for representing vectors in three-dimensional space, performing vector operations such as determining the gradient, divergence, and curl, and expressing physical quantities such as the displacement, velocity, acceleration, and force. By using Cartesian vector notation, engine...

Consider a vector A with its x and y components represented in terms of unit vectors, i and j. Here the unit vectors have dimensionless magnitude of one.

Since the magnitude of any vector component is always a positive quantity, represented by scalars, A can be expressed as a Cartesian vector.

Here, a right-handed...