Equality of vectors in component form for JEE

Formula

\(a_x=b_x,\ a_y=b_y,\ a_z=b_z \iff \vec{a}=\vec{b}\)

Variables: \(\vec{a}=(a_x,a_y,a_z),\ \vec{b}=(b_x,b_y,b_z)\).

Conditions: Use only relevant coordinates in 2D.

Comparing vectors using components.