Chapter 11.1, Problem 19E

(a)

To determine

To calculate: The vector $\frac{2}{3}u$, where $u=\langle 4,9\rangle$ and $v=\langle 2,-5\rangle$.

(b)

To determine

To calculate: The vector $3v$, where $u=\langle 4,9\rangle$ and $v=\langle 2,-5\rangle$.

(c)

To determine

To calculate: The vector $v-u$, where $u=\langle 4,9\rangle$ and $v=\langle 2,-5\rangle$.

(d)

To determine

To calculate: The vector $2u+5v$, where $u=\langle 4,9\rangle$ and $v=\langle 2,-5\rangle$.