Calculus Question

Question

Show that the dot product in Rn distributes over vector addition. For vectors v, w, and z one has

v*(w+z)= v*w+v*z

Answer 1

Dot product of v and w is the summation of v_iw_i

v dot (w+z) = sum of (v_i(w_i+z_i) ) = sum of (v_iw_i + v_iz_i) ...