$2\big<\frac{3}{2},8\big>-\big<-2,5\big>$

$\big<3,16\big>-\big<-2,5\big>$

$-\big<6,0\big>+\Big<\frac{3}{2},8\Big>$

$\text{Express }\vec{a}+\vec{b}\text{ as a single vector.}$

The double bars indicate "the length of". Use the Pythagorean Theorem to calculate this length.

$||\vec{b}||=6$