A line passes through the points `(6,-7,-1)a n d(2,-3,1)dot` Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.

Explanation

To find the direction cosines of the line passing through the points \( A(6, -7, -1) \) and \( B(2, -3, 1) \), we can follow these steps:

### Step 1: Find the direction vector of the line
The direction vector \( \vec{d} \) can be calculated by subtracting the coordinates of point \( B \) from point \( A \):

\[ \vec{d} = A - B = (6 - 2, -7 - (-3), -1 - 1) = (4, -4, -2) \]
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