Question
find a parametric vector equation for the segment joining:The point two-thirds of the way from $\mathbf{Q}(8,-2)$ to $\mathbf{R}(2,7)$ and the point one-fourth of the way from $\mathbf{S}(1,6)$ to $\mathbf{T}(9,10)$.
Step 1
To do this, we can use the formula for finding a point that divides a segment in a given ratio. The point \(P\) that is two-thirds of the way from \(\mathbf{Q}\) to \(\mathbf{R}\) can be calculated as follows: \[ P = \left( \frac{2}{3} \cdot \mathbf{R} + Show more…
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