In (x,y,z) space we consider the filled-in triangle T that has the corners A(0,0,3), B(0,2,0) and C(1,0,0) as well as the vector field V(x,y,z) = (z,x, y). a) Determine a parametric representation of T. Hint: Begin by parameterising the line segment 1 from B to C, after which you can parameterise T via lines from A to 1.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 49E
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In (x, y,z) space we consider the filled-in triangle T that has the corners A(0,0,3),
B(0,2,0) and C(1,0,0) as well as the vector field V(x,y,z) = (z,x,y).
a) Determine a parametric representation of T. Hint: Begin by parameterising the
line segment 1 from B to C, after which you can parameterise T via lines from
A to 1.
Transcribed Image Text:In (x, y,z) space we consider the filled-in triangle T that has the corners A(0,0,3), B(0,2,0) and C(1,0,0) as well as the vector field V(x,y,z) = (z,x,y). a) Determine a parametric representation of T. Hint: Begin by parameterising the line segment 1 from B to C, after which you can parameterise T via lines from A to 1.
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