Find a parametric equation of the line

Find a parametric equation of the line through `\bar u `  and `\bar v` , where

Answer.

    Given that

    let suppose that

    Now, we find the direction vector 

    Here

        `a = 6, b =  - 7` c = 11

    Now parametric equations are

        `x = x_0 + at`

        `\Rightarrow x =  - 6 + 6t`

        `y = y_0 + bt`

        `\Rightarrow y = 3 - 7t`

        `z = z_0 + ct`

        `\Rightarrow z =  - 4 + 11t`