Given two vectors, ̄V = 2ˆe1 +2ˆe2 +3ˆe3 and ̄W = ˆe1 +3ˆe2 −5ˆe3, compute the following: (i) The magnitudes of ̄V and ̄W . (ii) ̄V · ( ̄V + ̄W ) (iii) The vector ̄T given by ̄T = ( ̄V + ̄W ) \times ( ̄V − ̄W ) (iv) The angle between vectors ̄T and ̄V