Questions: Find a · b. a=7i+j, b=i-2j+k Find a · b. a=5,b=6, the angle between a and b is 30°. If u is a unit vector, find u · v and u · w. (Assume v and w are also unit vectors.) u · v=
Transcript text: Find $\mathbf{a} \cdot \mathbf{b}$.
\[
\mathbf{a}=7 \mathbf{i}+\mathbf{j}, \quad \mathbf{b}=\mathbf{i}-2 \mathbf{j}+\mathbf{k}
\]
Find $\mathbf{a} \cdot \mathbf{b}$.
$|\mathbf{a}|=5,|\mathbf{b}|=6$, the angle between $\mathbf{a}$ and $\mathbf{b}$ is $30^{\circ}$.
If $\mathbf{u}$ is a unit vector, find $\mathbf{u} \cdot \mathbf{v}$ and $\mathbf{u} \cdot \mathbf{w}$. (Assume $\mathbf{v}$ and $\mathbf{w}$ are also unit vectors.)
\[
\mathbf{u} \cdot \mathbf{v}=
\]
Solution
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