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Question

# Find a vector v whose magnitude is 3 and whose component in the i direction is equal to the component in the j direction.

Solution

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Step 1
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We know that the magnitude of a vector in the form $\mathbf{v}=x\mathbf{i}+y\mathbf{j}$ is given by:

\begin{aligned} \mathbf{\|v\|}=\sqrt{x^2+y^2}&&&(1) \end{aligned}

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