(a)Find the angle between the line                           r=i+2j-k+gamma(i-j+k) and the plane                           r.(2i-j+k)=4   (b) Find the equation of a plane containing the line of intersection of the planes                            x+y+z=6 and                          2x+3y+4z+5=0

Q: (vi) Find an equation of the plane that passes through the line of intersection of the planes x – z…

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Q: Find the linear equation of the plane through the point (2,3,6) and parallel to the plane…

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Q: Find the angle between the planes 2x + y- 3z 2 and -x + 2y - z= 1.

A: We can solve the given problem as follows:

Q: Find the point at which the line (-3, 4, 2) +t(-4, 3, 1) intersects the plane -4x + y – 5z = 76.

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Q: The line (x-22-3, y = 2z) intersects the plane (x+3y-2+4= 0) at the point P, Find: a) the…

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Q: Find the cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

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Q: Find the angle between the two planes 2x + 3y + z = 3 and x + 3y + 2z = -3

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Q: Find the distance between the point (-1,–1,2) and the plane 2.x+5y-6z =4

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Q: Find the equation of the plane through the point P = (3, 2, 5) and parallel to the plane a + 3y+ 3z…

A: Given: Line is parallel to x+3y+3z = 5 Equation of the plane parallel to the plane x+3y+3z = 5 is…