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An interactive plot with three-dimensional axes showing a line and three vectors shown in different colors. The first vector is shown in blue from the origin to a point labeled
\(P\text{.}\) The second vector is shown along the line in red and its length is changed by a slider at the top of the figure. The red vector is starts at the point on the line given by
\(P\) and ends at the point on the line labeled
\(Q\text{.}\) The last vector is shown in green and goes from the origin to the end of the red vector, labeled as point
\(Q\text{.}\) The length of the red vector is shown as a label in red as
\(t=1\text{.}\)