#5. Find the vector and parametric equations of each plane: (a) (b) the plane through the origin with direction vectors (3, -2, 7) and (0, 1, -2). the plane through the points (1, -3, 2), (0, 1, 2), and (9, 2, 0). (c) the plane with z-intercept 4, parallel to the plane x=1+1, y=2+31-s, z = 8.

Q: 2. Find an equation (parametric and vector form) of the line if the line is perpendicular to the…

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Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (4, –6) + t(1,…

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Q: Q1) Find the equation of the plane passing through the point (4,-1,-5) and perpendicular to the…

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Q: 2. Find the equation of the planes: a) (in general form) that goes through the three points A(4, 0,…

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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…

Q: How do you find the parametric and symmetric equation of the line passing through the point (3, 2,…

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Q: Q3// :- Write an equation for the plane containing points P=(1,1,-2),Q=(0,2,1), and R=(-1,-1,0)

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Q: 3. Give the parametric and symmetric equations of the line that passes through he point (4, –3, 5)…

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Q: A plane contains the point B(-3, 2, -4) and the line with parametric equations x= 1 + 2?, y = −t, z=…

A: Explanation of the answer is as follows

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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Q: Let A = and B = , P = (9, 8, 7) d. find an equation for the plane which contains the point Pand is…

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