Using projection(s), find the distance between the point (0, −2) and the line 3x −2y + 5 = 0 (that passes through (−1, 1) and (−3, −2)). b) Find an equation of the line that passes through the origin and is perpendicular to the lines L1 : x + 3 = +4t, y = −t, z −1 = 2t, −∞< t < ∞, L2 : x = 3 + 5t, y = −2, z = −6 −7t, −∞< t < ∞. Please show all work for

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

a) Using projection(s), find the distance between the point (0, −2) and the line 3x −2y + 5 = 0 (that
passes through (−1, 1) and (−3, −2)).

b) Find an equation of the line that passes through the origin and is perpendicular to the lines
L1 : x + 3 = +4t, y = −t, z −1 = 2t, −∞< t < ∞,
L2 : x = 3 + 5t, y = −2, z = −6 −7t, −∞< t < ∞.

Please show all work for and b.

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