We desire to discover the value of ||v+w|| if v=5i-7j and w=3i+2j |r| =../r.+..r .....√...1....2 if r = r(1)i +r(2)j We first find the value of v+ w by adding v(1) +w(1) = 5+3 = 8 and by adding v(2) +w(2) = -7+2 = -5 so v+w = 8i -5j and |v+w| = √8²+(-5)² =√64 + 25 =√89 = 9.43398113