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Find the point where line which passes t...

Find the point where line which passes through point (1, 2, 3) and is parallel to line `vecr=hati-hatj+2hatk+lamda(hati-2hatj+3hatk)` meets the `xy`-plane.

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AI Generated Solution

To find the point where the line passing through the point (1, 2, 3) and parallel to the given line meets the xy-plane, we can follow these steps: ### Step 1: Identify the direction vector of the line The line is given in the form: \[ \vec{r} = \hat{i} - \hat{j} + 2\hat{k} + \lambda(\hat{i} - 2\hat{j} + 3\hat{k}) \] From this, we can extract the direction vector of the line: ...
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