A line passes through the point with position vector `2 hat i-3 hat j+4 hat k` and is in the direction of `3 hat i+4 hat j-5 hat kdot` Find equations of the line in vector and Cartesian form.

Explanation

To find the equations of the line in both vector and Cartesian form, we will follow these steps:

### Step 1: Identify the Position Vector and Direction Vector
The position vector of the point through which the line passes is given as:
\[ \mathbf{a} = 2\hat{i} - 3\hat{j} + 4\hat{k} \]
The direction vector of the line is given as:
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