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3 cards from this section. Quick, good the night before a test.
What are the parametric equations of a line through point A(0, 0, 0) with direction vector (1, 1, 1)?
Remember to express each coordinate with respect to the parameter 't'.
What is the symmetric form for the line defined by the parametric equations x = 2 + 3t, y = 5 + 6t, z = 7 + 8t?
Convert each equation back to express the ratio.
What is the first step to write the parametric form of a line?
Think about what you need to define a path in space.
True or False: The symmetric form can be used when any part of the direction vector is zero.
Consider the implications of zero in ratios.
Given two points F(1, 2, 3) and G(-1, -2, -4), write the line equation in both parametric and symmetric forms and explain any assumptions if one direction vector component is zero.
Remember, how does zero in a vector change the representation?
Find the distance between two lines defined by their equations: L1: (x - 2)/1 = (y - 3)/2 and L2: (x - 4)/-1 = (y + 1)/3. Are they parallel?
What defines parallelism in lines?
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