Consider the point P(-3-1.5), the line : r = 3t, y=-6t-3, z = 2t+1, and the plane : 72-y-3z +7= 0. Let ✓ be the vector from the origin to P and let u be a direction vector for l. (a) Find the vector projection of onto . (b) Find the point of intersection of € and . (c) Find the symmetric equations of the line passing through P and perpendicular to . (d) Find the point-normal equation of the plane containing P and l.
Consider the point P(-3-1.5), the line : r = 3t, y=-6t-3, z = 2t+1, and the plane : 72-y-3z +7= 0. Let ✓ be the vector from the origin to P and let u be a direction vector for l. (a) Find the vector projection of onto . (b) Find the point of intersection of € and . (c) Find the symmetric equations of the line passing through P and perpendicular to . (d) Find the point-normal equation of the plane containing P and l.
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Transcribed Image Text:Consider the point P(-3-1.5), the line : r = 3t, y=-6t-3, z = 2t+1, and the plane : 72-y-3z +7= 0. Let
✓ be the vector from the origin to P and let u be a direction vector for l.
(a) Find the vector projection of onto .
(b) Find the point of intersection of € and .
(c) Find the symmetric equations of the line passing through P and perpendicular to .
(d) Find the point-normal equation of the plane containing P and l.
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