Find $\mathbf{u}+\mathbf{v}$
\[
u=\langle 4,-5\rangle \text { and } \mathbf{v}=\langle-2,-3\rangle
\]
\[
\mathbf{u}+\mathbf{v}=\langle
\]
(Simplify your answers.)

Answer

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Answer

$\boxed{\mathbf{u} + \mathbf{v} = \langle 2, -8 \rangle}$

Steps

Step 1 ：Given vectors are $\mathbf{u} = \langle 4,-5 \rangle$ and $\mathbf{v} = \langle -2,-3 \rangle$.

Step 2 ：The sum of two vectors is obtained by adding their corresponding components.

Step 3 ：Adding the corresponding components of vectors $\mathbf{u}$ and $\mathbf{v}$, we get $\mathbf{u} + \mathbf{v} = \langle 4 + (-2), -5 + (-3) \rangle$.

Step 4 ：Simplifying the above expression, we get $\mathbf{u} + \mathbf{v} = \langle 2, -8 \rangle$.

Step 5 ：$\boxed{\mathbf{u} + \mathbf{v} = \langle 2, -8 \rangle}$

Find $\mathbf{u}+\mathbf{v}$\[u=\langle 4,-5\rangle \text { and } \mathbf{v}=\langle-2,-3\rangle\]\[\mathbf{u}+\mathbf{v}=\langle\](Simplify your answers.)

Answer

Popular Problems

Find $\mathbf{u}+\mathbf{v}$
\[
u=\langle 4,-5\rangle \text { and } \mathbf{v}=\langle-2,-3\rangle
\]
\[
\mathbf{u}+\mathbf{v}=\langle
\]
(Simplify your answers.)