Let M be a plane with the following properties: • M contains the point with coordinates (-2,0,1) • M is orthogonal to the vector 0 What is the distance of the point with coordinates (0, -1, 0) from M?

Q: Let L. be the line passing through the point P=(5, 1, 1) with direction vector [-1,5, -2], and let T…

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Q: Find eguation of a Plane that an contains the vector: and and Z=3E

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Q: b) Find parametric and vector equations for the line through (2,3,0) perpendicular to the vectors u…

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Q: B 10. Write a vector equation and parametric equations for a plane that satisfies each set of…

A: Due to Bartleby answering guidelines I have solved only first three Subparts of the given question…

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Q: - a) Determine the vector equation of the line of intersection of these 2 (1) x + 2y + 2z = -3 (2 2x…

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Q: 3. A plane contains A(1, -3, 2), B(-2, 4, 2) and C(3, 2, 1). (a) Determine the vector equation of…

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A: First we find direction vectors of the plane of solutions.

Q: 2. (6 marks) Find the vector equation of a plane a) Passing through the point A(-1, 2, -3) and…

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Q: Determine a so that the line x-3/a=y+5/2=z+1/4 is parallel to the plane 2x+3y-5z=14.

A: To determine  so that the line  is parallel to the plane .

Q: Find parametric equations for the line through p (2,3,0) and perpen-dicular to the vectors u =(1,…

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Q: Find an equation of the plane that passes through the point (1,2,3) and which is orthogonal to the…

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