4. (a) Show that the line l given by l: 1= 2+3t, y=1+4t, z= 5+ 2t, te R, lies in the plane II given by II: 2r + y – 5z = -20.

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Chapter1: Functions And Models
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4. (a) Show that the line l given by
l: x = 2+3t, y = 1+ 4t, z = 5+ 2t, tE R,
lies in the plane II given by
II : 2x + y – 5z = -20.
(b) Let A(4, 4, 7) and B(11,8, 11) be two points in 3D. Determine the coordinates of
the point Q which is located along the line segment between A and B, such that
| AQ | = 2.
Transcribed Image Text:4. (a) Show that the line l given by l: x = 2+3t, y = 1+ 4t, z = 5+ 2t, tE R, lies in the plane II given by II : 2x + y – 5z = -20. (b) Let A(4, 4, 7) and B(11,8, 11) be two points in 3D. Determine the coordinates of the point Q which is located along the line segment between A and B, such that | AQ | = 2.
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