/sci/ - Science & Math

>>9336245
break down v into two vectors, one in the direction of u ([math] v_x [/math]), and the other perpendicular to u ([math] v_y [/math]).
add [math] v_x [/math] and u together directly and apply the pythagorean theorem with [math] v_y [/math] to find the magnitude
[math] | \vec{u} + \vec{v}| = \sqrt{(u + v_x)^2 + v_y^2} [/math]

to find the angle just use [math] \tan^{-1}(\frac{v_y}{u + v_x}) [/math]