Addition of vectors in component form for JEE

Formula

\((a_x,a_y,a_z)+(b_x,b_y,b_z)=(a_x+b_x,\ a_y+b_y,\ a_z+b_z)\)

Variables: \((a_x,a_y,a_z)\) and \((b_x,b_y,b_z)\) are vectors.

Conditions: In 2D, omit the \(z\)-component.

Direct vector addition in coordinates.