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Add and subtract vectors C and D in component form.

Mathematics

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Answer

a

(910)\begin{pmatrix} 9 \\ 10 \end{pmatrix}

Step-by-step solution

3 steps

Here are the solutions to your homework problems:

1. Add and Subtract

Part a· 2 steps

  1. Add the corresponding components of the vectors.

    C+D=(83)+(17)=(8+13+7)C + D = \begin{pmatrix} 8 \\ 3 \end{pmatrix} + \begin{pmatrix} 1 \\ 7 \end{pmatrix} = \begin{pmatrix} 8+1 \\ 3+7 \end{pmatrix}

  2. Simplify the components.

    C+D=(910)C + D = \begin{pmatrix} 9 \\ 10 \end{pmatrix}

    The sum is (910)\boxed{\begin{pmatrix} 9 \\ 10 \end{pmatrix}}.

Part b· 1 step

  1. Add the corresponding components of the vectors

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