Let $\mathbf{m}=⟨1,5⟩$ and $\mathbf{n}=⟨1,4⟩$. Find $\mathbf{m}\cdot \mathbf{n}$.

Which statement about $\mathbf{u}=⟨1,2⟩$ and $\mathbf{v}=⟨8,2⟩$ is correct?

Let $\mathbf{p}=⟨-3,6⟩$ and $\mathbf{q}=⟨4,7⟩$. Find $\mathbf{p}\cdot \mathbf{q}$.

Find the angle between $\mathbf{r}=⟨6,0⟩$ and $\mathbf{s}=⟨-6,6⟩$, in degrees.

For $\mathbf{v}=⟨-7,2⟩$, find $\mathbf{v}\cdot \mathbf{v}$.

Find the angle between $\mathbf{s}=⟨-\sqrt{2},-\sqrt{2}⟩$ and $\mathbf{t}=⟨2,-2\sqrt{3}⟩$, in degrees.

For what value of $k$ are $⟨k,4⟩$ and $⟨4,3⟩$ orthogonal?

Which statement about $\mathbf{u}=⟨1,5⟩$ and $\mathbf{v}=⟨10,-2⟩$ is correct?

Two vectors have magnitudes $\Vert \mathbf{u}\Vert =6$ and $\Vert \mathbf{v}\Vert =10$, and the angle between them measures 120 degrees. Find $\mathbf{u}\cdot \mathbf{v}$, in exact form.

For what value of $k$ are $⟨k,-7⟩$ and $⟨-7,-6⟩$ orthogonal?

For $\mathbf{w}=⟨8,2⟩$, find $\mathbf{w}\cdot \mathbf{w}$.

Find the angle between $\mathbf{p}=⟨-2\sqrt{3},-2⟩$ and $\mathbf{q}=⟨-4,0⟩$, in degrees.

Two vectors have magnitudes $\Vert \mathbf{u}\Vert =2$ and $\Vert \mathbf{v}\Vert =8$, and the angle between them measures 30 degrees. Find $\mathbf{u}\cdot \mathbf{v}$, in exact form.

Let $\mathbf{v}=⟨3,-5⟩$ and $\mathbf{w}=⟨-3,-1⟩$. Find $\mathbf{v}\cdot \mathbf{w}$.

Find the angle between $\mathbf{v}=⟨-2,-2\sqrt{3}⟩$ and $\mathbf{w}=⟨4,-4\sqrt{3}⟩$, in degrees.

For what value of $k$ are $⟨k,-6⟩$ and $⟨6,-9⟩$ orthogonal?

Find the angle between $\mathbf{v}=⟨3\sqrt{3},-3⟩$ and $\mathbf{w}=⟨-2\sqrt{2},-2\sqrt{2}⟩$, in degrees.

Let $\mathbf{r}=⟨-1,-8⟩$ and $\mathbf{s}=⟨1,-2⟩$. Find $\mathbf{r}\cdot \mathbf{s}$.

Let $\mathbf{s}=⟨3,-4⟩$ and $\mathbf{t}=⟨-5,-4⟩$. Find $\mathbf{s}\cdot \mathbf{t}$.

Which statement about $\mathbf{u}=⟨-6,6⟩$ and $\mathbf{v}=⟨6,0⟩$ is correct?

Which statement about $\mathbf{u}=⟨3,-4⟩$ and $\mathbf{v}=⟨8,6⟩$ is correct?

Which statement about $\mathbf{u}=⟨-8,7⟩$ and $\mathbf{v}=⟨1,-8⟩$ is correct?

Find the angle between $\mathbf{a}=⟨2\sqrt{2},2\sqrt{2}⟩$ and $\mathbf{b}=⟨4\sqrt{3},4⟩$, in degrees.

Let $\mathbf{c}=⟨7,3⟩$ and $\mathbf{d}=⟨-5,-7⟩$. Find $\mathbf{c}\cdot \mathbf{d}$.

For what value of $k$ are $⟨k,-5⟩$ and $⟨2,6⟩$ orthogonal?

Let $\mathbf{c}=⟨-6,4⟩$ and $\mathbf{d}=⟨-7,-8⟩$. Find $\mathbf{c}\cdot \mathbf{d}$.

Let $\mathbf{p}=⟨4,1⟩$ and $\mathbf{q}=⟨8,-6⟩$. Find $\mathbf{p}\cdot \mathbf{q}$.

Which statement about $\mathbf{u}=⟨-3,7⟩$ and $\mathbf{v}=⟨7,3⟩$ is correct?

Which statement about $\mathbf{u}=⟨6,4⟩$ and $\mathbf{v}=⟨-4,-2⟩$ is correct?

Two vectors have magnitudes $\Vert \mathbf{s}\Vert =10$ and $\Vert \mathbf{t}\Vert =5$, and the angle between them measures 120 degrees. Find $\mathbf{s}\cdot \mathbf{t}$, in exact form.

For $\mathbf{v}=⟨-8,1⟩$, find $\mathbf{v}\cdot \mathbf{v}$.

For $\mathbf{p}=⟨-4,1⟩$, find $\mathbf{p}\cdot \mathbf{p}$.

Find the angle between $\mathbf{v}=⟨\sqrt{3},1⟩$ and $\mathbf{w}=⟨4,0⟩$, in degrees.

Two vectors have magnitudes $\Vert \mathbf{v}\Vert =6$ and $\Vert \mathbf{w}\Vert =4$, and the angle between them measures 30 degrees. Find $\mathbf{v}\cdot \mathbf{w}$, in exact form.

Let $\mathbf{r}=⟨-5,4⟩$ and $\mathbf{s}=⟨-8,6⟩$. Find $\mathbf{r}\cdot \mathbf{s}$.

Let $\mathbf{v}=⟨-4,7⟩$ and $\mathbf{w}=⟨3,-8⟩$. Find $\mathbf{v}\cdot \mathbf{w}$.

Find the angle between $\mathbf{v}=⟨2\sqrt{3},2⟩$ and $\mathbf{w}=⟨-5\sqrt{3},5⟩$, in degrees.

Find the angle between $\mathbf{p}=⟨-5,-5⟩$ and $\mathbf{q}=⟨3,-3⟩$, in degrees.

Which statement about $\mathbf{u}=⟨-2,-7⟩$ and $\mathbf{v}=⟨-7,2⟩$ is correct?

Two vectors have magnitudes $\Vert \mathbf{r}\Vert =4$ and $\Vert \mathbf{s}\Vert =5$, and the angle between them measures 30 degrees. Find $\mathbf{r}\cdot \mathbf{s}$, in exact form.

For what value of $k$ are $⟨k,9⟩$ and $⟨-8,1⟩$ orthogonal?

Find the angle between $\mathbf{v}=⟨5,-3⟩$ and $\mathbf{w}=⟨-3,-5⟩$, in degrees.

Two vectors have magnitudes $\Vert \mathbf{v}\Vert =4$ and $\Vert \mathbf{w}\Vert =6$, and the angle between them measures 150 degrees. Find $\mathbf{v}\cdot \mathbf{w}$, in exact form.

Find the angle between $\mathbf{v}=⟨3,-3\sqrt{3}⟩$ and $\mathbf{w}=⟨10,0⟩$, in degrees.

Which statement about $\mathbf{u}=⟨-8,-6⟩$ and $\mathbf{v}=⟨-5,4⟩$ is correct?

Which statement about $\mathbf{u}=⟨-8,-3⟩$ and $\mathbf{v}=⟨3,-8⟩$ is correct?

Let $\mathbf{a}=⟨1,-5⟩$ and $\mathbf{b}=⟨-6,8⟩$. Find $\mathbf{a}\cdot \mathbf{b}$.

Let $\mathbf{m}=⟨-7,-4⟩$ and $\mathbf{n}=⟨3,6⟩$. Find $\mathbf{m}\cdot \mathbf{n}$.

Find the angle between $\mathbf{c}=⟨-3,3\sqrt{3}⟩$ and $\mathbf{d}=⟨-4,-4\sqrt{3}⟩$, in degrees.

For $\mathbf{q}=⟨-2,-4⟩$, find $\mathbf{q}\cdot \mathbf{q}$.