Force Vector Components 2D

The Force Vector Component 2D  calculator computes the component forces along both axes based on the magnitude of the force and the angle between the vector and the axis.

INSTRUCTIONS: Choose units and enter the following:

• |`vecF`| Magnitude of Force Vector
• (θ) Angle Away from Vector

Component Forces in 2D (F_x&y): The calculator returns the component forces in Newtons.  However this can be automatically converted to compatible units via the pull-down menu.

To compute the angles from a 3D vector to the axes and the magnitude, CLICK HERE.

The Math / Science

This equation computes the component of a force in the direction of a coordinate specified in a plane (2D-Space).  In a standard local coordinate system specified by orthogonal coordinates x ,y this equation expresses the component of a force `vec F` that is exerted in the direction of one of the coordinate axes.

The equations for each component are

• `vec F_x` = `F cos(theta)`, where `theta` is the angle between the direction of the force, `vec F` and the x-axis

3D Vector Functions

• k⋅V - scalar multiplication
• V/k - scalar division
• V / |V| - Computes the Unit Vector
• |V| - Computes the magnitude of a vector
• U + V - Vector addition
• U - V - Vector subtraction
• |U - V| - Distance between vector endpoints.
• |U + V| - Magnitude of vector sum.
• V • U - Computes the dot product of two vectors
• V x U - Computes the cross product of two vectors
• V x U • W - Computes the mixed product of three vectors
• Vector Angle - Computes the angle between two vectors
• Vector Area - Computes the area between two vectors
• Vector Projection - Compute the vector projection of V onto U.
• Vector Rotation - Compute the result vector after rotating around an axis.
• Vector Components 3D - Returns a vector's magnitude, unit vector, spherical coordinates, cylindrical coordinates and angle from each axis.
• (ρ, θ, φ) to (x,y,z) - Spherical to Cartesian coordinates
• (x,y,z) to (ρ, θ, φ) - Cartesian to Spherical coordinates
• (r, θ, z) to (x,y,z) - Cylindrical to Cartesian coordinates
• (x,y,z) to (r, θ, z) - Cartesian to Cylindrical coordinates
• (x,y) to (r, θ) - Cartesian to Polar
• (r, θ) to (x,y) - Polar to Cartesian 
• Vector Normal to a Plane Defined by Three Points