Question

Show that the points $\mathbf{S}(2,-1,3), \mathbf{T}(4,2,1)$, and $\mathbf{U}(-2,-7,7)$ lie on the same line.

   Show that the points $\mathbf{S}(2,-1,3), \mathbf{T}(4,2,1)$, and $\mathbf{U}(-2,-7,7)$ lie on the same line.

Modern Analytic Geometry

Modern Analytic Geometry

William Wooton,… 1st Edition

Chapter 8, Problem 31

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Step 1

We can do this by checking if the vector \(\overrightarrow{\mathbf{ST}}\) is a scalar multiple of the vector \(\overrightarrow{\mathbf{SU}}\). Step 2: First, we calculate the vector \(\overrightarrow{\mathbf{ST}}\) from point \(\mathbf{S}\) to point Show more…

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Show that the points $\mathbf{S}(2,-1,3), \mathbf{T}(4,2,1)$, and $\mathbf{U}(-2,-7,7)$ lie on the same line.

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