Vector Concepts and Operations

Length and Width

Magnitude and Direction

Speed and Direction

Magnitude and Speed

With a circle

With an arrow on top

With a dot

With a line

Product of initial and terminal

Terminal minus initial

Initial minus terminal

Sum of initial and terminal

At the midpoint of the first vector

Anywhere on the plane

Where the first vector ends

At the origin

It remains unchanged

It becomes a unit vector

It reverses direction

It doubles in length

A vector with a magnitude of zero

A vector with a magnitude of one

A vector with a magnitude of ten

A vector with no direction

Multiply by its magnitude

Divide by its magnitude

Subtract its components

Add its components

Add the components

Convert to a unit vector

Subtract the components

Multiply by the desired magnitude

Using the sine function

Using the cosine function

Using the tangent inverse function

Using the Pythagorean theorem

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