Dot Product Visualizer: Angles and Projections in 3D

3D Force Vector Builder: Angles, Two Points and Sums

Build a force in space from its components, its three direction angles, two angles or two points, turn the 3D view with the mouse, and add several forces into one.

Dot Product: Angle Between Vectors and Projection of a Force

Use the dot product to find the angle between two lines and the parallel and perpendicular components of a force.

Cartesian Vectors in 3D: Components and Direction Angles

Describe a force in 3D with i, j, k components, its magnitude, coordinate direction angles and unit vector.

Force Vector Directed Along a Line Using Position Vectors

Write a cable or rope force as a Cartesian vector from the coordinates of two points, using position and unit vectors.

Magnitude and Direction Angles

The Third Direction Angle

Unit Vector of a 3D Vector

From Two Angles

Drone Thrust

A Cable Pulling Down

The Missing z Component

Angles with a Sign

Pointing an Antenna

Angles from Components

A Robot Arm

Rope on a Flagpole

Elevation and Bearing

Can These Angles Exist?

Writing F = F u

Mooring Chain of a Buoy