Determine the way in which the line x, y, z = [2, -3, 0] + k[-1, 3, -1] intersects the plane [x, y, z] = [4, −15, −8] + s[1, −3, 1] + t[2, 3, 1], if at all.

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 24CM: Use a system of linear equation to find the parabola y=ax2+bx+c that passes through the points...
Question
Determine the way in which the line
[x, y, z] = [2, -3, 0] + k[−1, 3, -1] intersects the plane
[x, y, z] = [4, -15, -8] + s[1, -3, 1] + t[2, 3, 1], if at all.
Transcribed Image Text:Determine the way in which the line [x, y, z] = [2, -3, 0] + k[−1, 3, -1] intersects the plane [x, y, z] = [4, -15, -8] + s[1, -3, 1] + t[2, 3, 1], if at all.
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