The Vector Sum of Forces (2D) calculator computes the sum of two vectors by summing the x and y components of the two vectors.

INSTRUCTIONS: Choose units and enter the following:

• (`vecF_"ax"`) x component of vector A
• (`vecF_"ay"`) y component of vector A
• (`vecF_"bx"`) x component of vector B
• (`vecF_"by"`) y component of vector B

Vector Sum of Forces (2D) (`vecF_"net"`): The resulting vector is returned in Newtons.

The Math / Science

The Vector Sum of Forces (2D) equation computes the sum of two vectors by summing the x and y components of the two vectors.

To simplify the graphical example we show vector `vecA` begins at the origin of the Cartesian axes and so that vector `vecA` points to the point [`vecA_x`, `vecA_y`]. Nevertheless, we know that these vectors and this vector addition can occur anywhere on the X/Y plane.

Notes

A vector is a mathematical concept of an object that has direction and length.  A line alone is not a vector but a line with orientation spanning the distance between two points in space is a vector.

Figure A shows the vector summation:   `vecC` = `vecA` + `vecB` with `vecA` having it's start at the origin for simplification.

Figure B shows the x and y components of vector `vecA` (in red).

Figure C shows the x and y components of vector `vecB` (in purple).

Vector `vecC`'s coordinates = [`vecC_x` , `vec C_y`] = [`vec A_x` + `vecB_x`, `vecA_y` + `vecB_y`]