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Let L be the line passing through the point P(1, 2, -1) with direction vector d=[-2, -3, -4]", and let T be the plane defined by -3x+5y-2z=-17. Find the point Q where L and T' intersect Q=(0, 0, 0)

Let L be the line passing through the point P(1, 2, -1) with direction vector d=[-2, -3, -4]", and let T be the plane defined by -3x+5y-2z=-17. Find the point Q where L and T' intersect Q=(0, 0, 0)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let \( L \) be the line passing through the point \( P(1, 2, -1) \) with direction vector \( \mathbf{d} = \begin{bmatrix} 2 \\ -3 \\ -4 \end{bmatrix} \), and let \( T \) be the plane defined by the equation \(-3x + 5y - 2z = -17\). Find the point \( Q \) where \( L \) and \( T \) intersect. The intersection point is \( Q = (0, 0, 0) \).
Transcribed Image Text:Let \( L \) be the line passing through the point \( P(1, 2, -1) \) with direction vector \( \mathbf{d} = \begin{bmatrix} 2 \\ -3 \\ -4 \end{bmatrix} \), and let \( T \) be the plane defined by the equation \(-3x + 5y - 2z = -17\). Find the point \( Q \) where \( L \) and \( T \) intersect. The intersection point is \( Q = (0, 0, 0) \).
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