Use the method of linear system (the Gaussian-elimination method) to determine whether the following two lines intersects. If they intersect, find the intersection point; if they don't intersect, determine if they are parallel, skew, or the same line. (c). (d). L₁: x=5+3t, y=4-2t, 2=-2+3t; x=-1+9t, y=5-6t, z=3+9t. L₂ L₁ =1+3t, y=-2+t, z = 2t; L₂: x=4-6t, y=-1-2t, z = 2-4t.
Use the method of linear system (the Gaussian-elimination method) to determine whether the following two lines intersects. If they intersect, find the intersection point; if they don't intersect, determine if they are parallel, skew, or the same line. (c). (d). L₁: x=5+3t, y=4-2t, 2=-2+3t; x=-1+9t, y=5-6t, z=3+9t. L₂ L₁ =1+3t, y=-2+t, z = 2t; L₂: x=4-6t, y=-1-2t, z = 2-4t.
Chapter6: Systems Of Equations And Inequalities
Section6.3: Multivariable Linear Systems
Problem 76E: The number of sides x and the combined number of sides and diagonals y for each of three regular...
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Transcribed Image Text:5. Use the method of linear system (the Gaussian-elimination method) to determine whether the following two
lines intersects. If they intersect, find the intersection point; if they don't intersect, determine if they are parallel,
skew, or the same line.
(c).
(d).
L₁ 2 5+3t, y=4-2t, 2= -2+3t;
L₂
= 1+9t, y = 5-6t, z = 3+9t.
L₁ =1+3t, y=-2+t,
2 = 2t;
L2x=4-6t, y=-1-2t, z =2-4t.
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