Which of the following pairs of lines are per- pendicular? (a) x = 2 + 2t y = −3 − 3t z = 4 + 4t and x = 2 + t y = 4 − t z = 5 − t (b) x = 3 − t y = 4 + 4t z = 2 + 2t and x = 2t y = 3 − 2t z = 4 + 2t

Which of the following pairs of lines are per- pendicular? (a) x = 2 + 2t y = −3 − 3t z = 4 + 4t and x = 2 + t y = 4 − t z = 5 − t (b) x = 3 − t y = 4 + 4t z = 2 + 2t and x = 2t y = 3 − 2t z = 4 + 2t

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter4: Graphs

Section4.5: Use The Slope–intercept Form Of An Equation Of A Line

Problem 4.111TI: Use slopes to determine if the lines 5x+4y=1 and 4x+5y=3 are perpendicular.

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Question

Which of the following pairs of lines are per-
pendicular?

(a) x = 2 + 2t
y = −3 − 3t
z = 4 + 4t
and
x = 2 + t
y = 4 − t
z = 5 − t

(b) x = 3 − t
y = 4 + 4t
z = 2 + 2t
and
x = 2t
y = 3 − 2t
z = 4 + 2t

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