A shell traveling with velocity ⃗v0 explodes into three pieces of equal masses. Just after the explosion, one piece has velocity v1 = ⃗v0 and the other two have velocities ⃗v2 and ⃗v3 that are equal in magnitude (v2 = v3) but mutually perpendicular. Find ⃗v2 and ⃗v3 and sketch the three velocities.