Find the point where the line through the origin and perpendicular to the 2x - y - z = 4 plane intersects the 3x - 5y + 2z = 6 plane. Assume that n is normal to a plane and that v is parallel to the same plane. Describe how you would find a vector n that is both perpendicular to v and parallel to the plane

Q: Find the vector equation of the line that goes through the point (10,15,9)(10,15,9) and is…

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Q: Find the equation of the plane through the point P=(5,2,5) and parallel to the plane 2y−4x−z=9. z=

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Q: Explain how to find a vector in the direction of the line segment from P0(x0, y0, z0) to P1(x1, y1,…

A: Initial point is P0x0, y0, z0 and the terminal point is P1x1, y1, z1.

Q: Find the vector equation of the line of intersection of the planes x+y+z = 1 and x+2y + 2z = 1.

A: The equation of the line vector of the intersection of 2 planes can be calculated using the cross…