Determine if the statements below are True or False and Explain in detail. 1. If L is a line with direction vector d and P is an original plane in R^3(line), and L and P do not intersect, then d lies in the plane P. 2. If P1 and P2 are distinct planes in R^3 (line) so that for every line L1 contained in P1 there is a line L2 contained in P2 so that L1 and L2 are parallel, then P1 and P2 must be parallel.

Determine if the statements below are True or False and Explain in detail. 1. If L is a line with direction vector d and P is an original plane in R^3(line), and L and P do not intersect, then d lies in the plane P. 2. If P1 and P2 are distinct planes in R^3 (line) so that for every line L1 contained in P1 there is a line L2 contained in P2 so that L1 and L2 are parallel, then P1 and P2 must be parallel.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 21E

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