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

Add concurrent forces in space component by component and find the magnitude and direction angles of the resultant.

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

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

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.

See what the dot product means: the angle between two directions and the part of a force along a line, drawn in 3D with its perpendicular part and a right-angle mark.