Chapter 11.3, Problem 7E

(a)

To determine

To calculate: The value of the vector $u\cdot v$ when $u=\langle 2,-3,4\rangle \text{and}v=\langle 0,6,5\rangle$.

(b)

To determine

To calculate: The value of the vector $u\cdot u$ when $u=\langle 2,-3,4\rangle \text{and}v=\langle 0,6,5\rangle$.

(c)

To determine

To calculate: The value of _{${\Vert \text{v}\Vert }^2$} when $u=\langle 2,-3,4\rangle \text{and}v=\langle 0,6,5\rangle$.

(d)

To determine

To calculate: The value of the vector _{$\left(u\cdot v\right)v$} when $u=\langle 2,-3,4\rangle \text{and}v=\langle 0,6,5\rangle$.

(e)

To determine

To calculate: The value of the vector _{$u\cdot \left(3v\right)$} when $u=\langle 2,-3,4\rangle \text{and}v=\langle 0,6,5\rangle$.