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Example 4: Finding the Vector Equation Of a Line

Find a vector equation for the line L with the parametric equations

x = 3t + 2. y = 0t - 4. z = t + 0.

Let

P = 2i - 4j, D = 3i + k,

then L has the vector equation

X = P + fD, or X = (2i - 4j) + t(3i + k).

L is shown in Figure 10.3.6.

10_vectors-119.gif

Figure 10.3.6


Last Update: 2006-11-15