Example: A plane is flying along, pointing North, but there is a wind coming from the North-West. The two vectors (the velocity caused by the propeller, and the velocity of the wind) result in a …

They have many uses ... A simple example is that an eigenvector does not change direction in a transformation ... How do we find that vector?

Example: q b is actually the scalar q times the vector b. A vector can also be written as the letters of its head and tail with an arrow above it, like this: Using Scalars Scalars are easy to use. Just …

A vector has magnitude (how long it is) and direction: Two vectors can be multiplied using the Cross Product (also see Dot Product).

A vector has magnitude (how long it is) and direction ... Here are two vectors

1 √2 = 1 2 + 1 2 = 1 ... cat = 1 √2alive + 1 √2dead ... The probability equals the amplitude magnitude squared, in other words: ... The || means magnitude of a vector, not absolute value.

A vector has magnitude (how long it is) and direction: A Unit Vector has a magnitude of 1: A vector can be scaled off the unit vector.

Speed is how fast something moves. Velocity is speed with a direction. Saying Ariel the Dog runs at 9 km/h (kilometers per hour) is a speed.

A Matrix is an array of numbers: A Matrix (This one has 2 Rows and 3 Columns). To multiply a matrix by a single number, we multiply it by every...

Illustrated definition of Tensor: The general idea of a tensor is an array of values: A 0-dimensional tensor is a single value, called...