Which vector equation below represents the line in R³ that passes through the point (-4, 5, 7) and is perpendicular to both a = < 2, 3, 4> and b = < 1, 0, 1>? Or(t): <-4,5,7> OF(t) <-4,5,7> OF(t): = < -4,5,7 > + t < Or(t) = = = + t < + t < 3, 6, - 3> 1, 0, - 1> 3, 3, 3 > 4, 5, 7> + t < 1, 3, 5 > . OF(t)=4-3t, 5-6t, 7 - 3t >

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which vector equation below represents the line in R³ that passes through the point (-4, 5, 7) and is
perpendicular to both a = < 2,3,4> and b = < 1,0, − 1 > ?
-
Or(t) =
4, 5, 7>
OF(t) = <
4, 5, 7>
Or(t) = 4, 5, 7>
< -
<
1
+t< - 3, 6, - 3 >
+ t <
1, 0, - 1>
1
+ t <
3, 3, 3 >
Or(t)= 4, 5, 7> + t < 1, 3, 5 >
Or(t) =<4- 3t, 5-6t, 7 - 3t >
Transcribed Image Text:Which vector equation below represents the line in R³ that passes through the point (-4, 5, 7) and is perpendicular to both a = < 2,3,4> and b = < 1,0, − 1 > ? - Or(t) = 4, 5, 7> OF(t) = < 4, 5, 7> Or(t) = 4, 5, 7> < - < 1 +t< - 3, 6, - 3 > + t < 1, 0, - 1> 1 + t < 3, 3, 3 > Or(t)= 4, 5, 7> + t < 1, 3, 5 > Or(t) =<4- 3t, 5-6t, 7 - 3t >
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