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Which equations below represent the line in R³ that passes through the point (-3, 5,-5) and is parallel to the vector 3i + 4j + 6k? You may select more than one equation. Or(t) = <3,4,6> Or(t) =< 3, 5, x=3+ 3t; y = +t<3, 5, -5> 5 > + t < 5 + 4t; z = 3, 4, 6 > 5 + 6t OF(t)= = <3, 5, 5> +t<0, 9, 1 > Or(t) = < 3, 5, -5> +t<3, 4, 6 > x= -3 + 6t; y = 5 + 8t; z = −5+6t OF(t)=<3, 5, -5> +t< - 3, 4, -6> OF(t) = <3, 5, -5> +t< 6, 8, 12 >

Which equations below represent the line in R³ that passes through the point (-3, 5,-5) and is parallel to the vector 3i + 4j + 6k? You may select more than one equation. Or(t) = <3,4,6> Or(t) =< 3, 5, x=3+ 3t; y = +t<3, 5, -5> 5 > + t < 5 + 4t; z = 3, 4, 6 > 5 + 6t OF(t)= = <3, 5, 5> +t<0, 9, 1 > Or(t) = < 3, 5, -5> +t<3, 4, 6 > x= -3 + 6t; y = 5 + 8t; z = −5+6t OF(t)=<3, 5, -5> +t< - 3, 4, -6> OF(t) = <3, 5, -5> +t< 6, 8, 12 >

Advanced Engineering Mathematics
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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Which equations below represent the line in R³ that passes through the point (-3,5,-5) and is parallel to the vector 3i + 4j + 6k? You may select more than one equation. Or(t): <3, 4, 6> +t<3, 5, -5> OF(t) = <-3, 5, -5> + t < 3, 4, 6 > Ox=3+3t; y = 5 + 4t; z = = 5 + 6t - OF(t): = -3, 5, -5> +t< 0,9,1> OF(t) = < 3, 5, -5> +t<3, 4,6 > 1 - x=3+ 6t; y = 5 + 8t; z = 5+ 6t OF(t)=<3, 5, -5> +t<3, 4, -6> OF(t)=< 3, 5, -5> + t < 6, 8, 12 > -
Transcribed Image Text:Which equations below represent the line in R³ that passes through the point (-3,5,-5) and is parallel to the vector 3i + 4j + 6k? You may select more than one equation. Or(t): <3, 4, 6> +t<3, 5, -5> OF(t) = <-3, 5, -5> + t < 3, 4, 6 > Ox=3+3t; y = 5 + 4t; z = = 5 + 6t - OF(t): = -3, 5, -5> +t< 0,9,1> OF(t) = < 3, 5, -5> +t<3, 4,6 > 1 - x=3+ 6t; y = 5 + 8t; z = 5+ 6t OF(t)=<3, 5, -5> +t<3, 4, -6> OF(t)=< 3, 5, -5> + t < 6, 8, 12 > -
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