This equality is called the Parallelogram Law (a) Determine whether the lines a (2) 1+ t. y -2+3t, z 4 and x = 28, y = 3+8, z = -3+ 4s are parallel, intersecting, or skew. (b) If the lines are skew find the equation of parallel planes P₁ and 2 that contains each line. (3) (a) Find the tangent vector T(t) for the vector function r(t)=(1+2t, t2,3-1²). (b) Find the vectors T(1) and r(1). (c) Find the parametric equation of the tangent line of r(t) at t = 1. TE
This equality is called the Parallelogram Law (a) Determine whether the lines a (2) 1+ t. y -2+3t, z 4 and x = 28, y = 3+8, z = -3+ 4s are parallel, intersecting, or skew. (b) If the lines are skew find the equation of parallel planes P₁ and 2 that contains each line. (3) (a) Find the tangent vector T(t) for the vector function r(t)=(1+2t, t2,3-1²). (b) Find the vectors T(1) and r(1). (c) Find the parametric equation of the tangent line of r(t) at t = 1. TE
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2&3 please
Transcribed Image Text:This equality is called the Parallelogram Law
(2)
(a) Determine whether the lines z = 1+ t, y = -2 + 3t, z = 4 - t and
x = 2s, y = 3+ s, z = -3 + 4s are parallel, intersecting, or skew. (b) If the lines are
skew find the equation of parallel planes P₁ and P2 that contains each line.
(3) (a) Find the tangent vector T(t) for the vector function r(t)=(1+2t, t²,3-1²).
(b) Find the vectors T(1) and r(1). (c) Find the parametric equation of the tangent
line of r(t) at t = 1.
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