Find v · u.
-$\mathbf { v } = \left\langle \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 7 } } \right\rangle$ and $\mathbf { u } = \left\langle \frac { 1 } { \sqrt { 2 } } , \frac { - 1 } { \sqrt { 7 } } \right|$
A) $\frac { 1 } { 2 } \mathrm { i } - \frac { 1 } { 7 } \mathrm { j }$
B) 0
C) $\frac { 2 } { \sqrt { 2 } } \mathrm { i }$
D) $\frac { 5 } { 14 }$

Question

Quizplus · Accepted Answer

The dot product $v \cdot u$ is calculated as $\left(\frac{1}{\sqrt{2}}\right)\left(\frac{1}{\sqrt{2}}\right) + \left(\frac{1}{\sqrt{7}}\right)\left(\frac{-1}{\sqrt{7}}\right) = \frac{1}{2} - \frac{1}{7} = \frac{5}{14}$.

Find V · U v=⟨12,17⟩\mathbf { v } = \left\langle \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 7 } } \right\ranglev=⟨2​1​,7​1​⟩

Find V · U $\mathbf { v } = \left\langle \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 7 } } \right\rangle$