Find the equation of the line in vector and in cartesian form that passes through the point with position vector $2 \hat{i} - \hat{j} + 4 \hat{k}$ and is in the direction $\hat{i} + 2 \hat{j} - \hat{k}$ .

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Find the equation of the line in vector and in cartesian form that passes through the point with position vector

2 \hat{i} - \hat{j} + 4 \hat{k}

and is in the direction

\hat{i} + 2 \hat{j} - \hat{k}

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Question Text

Find the equation of the line in vector and in cartesian form that passes through the point with position vector

2 \hat{i} - \hat{j} + 4 \hat{k}

and is in the direction

\hat{i} + 2 \hat{j} - \hat{k}

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