The line l in R³ given by the Cartesian equations a + 5 y+2 z+2 2 3 can be written in parametric vector form as x = a+dv where a and v are vectors in R³ and A is a real parameter. -5 One possible choice for a is -2 Find a different choice for a and a vector v so that the vector equation above represents the li () vectors in the boxes below using Maple notation. For example for the vector 2 enter < 1, 2, 3 >. Does the point C(-65, –22,–32) lie on the line l?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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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
x + 5
y+2
z +2
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.
-5
One possible choice for a is
-2
Find a different choice for a and a vector v so that the vector equation above represents the line l. Enter your
()
vectors in the boxes below using Maple notation. For example for the vector
enter < 1, 2, 3 >.
3
a =
v =
Does the point C(-65,–22, –32) lie on the line l?
O Yes, C lies on the line l.
O No, C does not lie on the line l.
||
Transcribed Image Text:The line l in R³ given by the Cartesian equations x + 5 y+2 z +2 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. -5 One possible choice for a is -2 Find a different choice for a and a vector v so that the vector equation above represents the line l. Enter your () vectors in the boxes below using Maple notation. For example for the vector enter < 1, 2, 3 >. 3 a = v = Does the point C(-65,–22, –32) lie on the line l? O Yes, C lies on the line l. O No, C does not lie on the line l. ||
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