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2 cards from this section. Quick, good the night before a test.
Calculate the distance between points (0, 0, 0) and (3, 4, 5).
Use the distance formula.
Determine if points (1, 2, 3), (2, 4, 6), and (3, 6, 9) are collinear.
Check if they lie on the same line.
What is the distance between points (1,1,1) and (4,5,9)?
Apply the distance formula and calculate each component.
True or False: The points (1, 0, 0), (2, 0, 0), and (3, 0, 0) define a unique plane.
Consider the definition of collinearity.
Given points A(1, 1, 0), B(2, 2, 1), and C(3, 3, 2), determine if these points span a plane. If so, find its equation.
Calculate the vectors between the points.
Points A(1, 2, 3), B(4, 5, 6), and C(7, 8, 9) are given. Show that these points do not lead to a valid plane equation.
Check if the cross product of the two vectors yields non-zero results.
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