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Find the equation of the line in vector...

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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To find the equation of the line in both vector and Cartesian forms, we will follow these steps: ### Step 1: Identify the given information We are given: - A point through which the line passes, represented by the position vector: \[ \mathbf{a} = 2\hat{i} - \hat{j} + 4\hat{k} \] ...
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