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2 cards from this section. Quick, good the night before a test.
Write the parametric equations for a line passing through the point P(0, 0, 0) in the direction of the vector (1, 1, 1).
Use the components of the direction vector.
What is the value of t at point (3, 3, 3) for the line represented by x = 1 + t, y = 1 + t, z = 1 + t?
Plug the coordinates into the equations to solve for t.
What does the parameter t represent in the parametric form of a line?
Think about how it relates to different points along the line.
True or False: The directional vector can be a zero vector.
Consider what happens if there's no movement in the direction.
You have a line passing through point P(3, -2, 5) with a directional vector (4, -1, 2). Write the parametric equations and find the coordinates at t = 5.
Calculate for all three coordinates using t = 5.
Explain how moving dynamically along a parametric line can represent realistic movement in animations or simulations.
Think about how time influences position in animations.
6 more questions in this section. Enroll free to practise them all.
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