The line l in R3 given by the Cartesian equations x - 1 y+5 z – 6 %3D -3 6 can be written in parametric vector form as x = a+Av where a and v are vectors in R° and A is a real parameter. 1 One possible choice for a is -5 Find a different choice for a and a vector v so that the vector equation above represents the line l. Enter your 6 () vectors in the boxes below using Maple notation. For example for the vector enter < 1, 2, 3 >. 3 a = v = Does the point C(-17,10,43) lie on the line (? O Yes, C lies on the line l. O No, C does not lie on the line l.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.4: Vectors In Three Dimensions
Problem 1E: A vector in three dimensions can be written in either of two forms: in coordinate form as v=a1,a2,a3...
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The line l in R3 given by the Cartesian equations
х — 1
y + 5
z – 6
-3
can be written in parametric vector form as
x = a+Av
where a and v are vectors in R³ and A is a real parameter.
()
1
One possible choice for a is
Find a different choice for a and a vector v so that the vector equation above represents the line l. Enter your
6.
vectors in the boxes below using Maple notation. For example for the vector
enter < 1, 2, 3 >.
3
a =
v =
Does the point C(-17,10,43) lie on the line l?
Yes, C lies on the line l.
No, C does not lie on the line l.
||
Transcribed Image Text:The line l in R3 given by the Cartesian equations х — 1 y + 5 z – 6 -3 can be written in parametric vector form as x = a+Av where a and v are vectors in R³ and A is a real parameter. () 1 One possible choice for a is Find a different choice for a and a vector v so that the vector equation above represents the line l. Enter your 6. vectors in the boxes below using Maple notation. For example for the vector enter < 1, 2, 3 >. 3 a = v = Does the point C(-17,10,43) lie on the line l? Yes, C lies on the line l. No, C does not lie on the line l. ||
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