A. Consider the plane with direction vectors à = (8,-5,4) and b = (1,-3,-2) through P(3,7,0). 1. Write the vector and the parametric equations of the plane. F (5,7,0) ++(-Siues Che 2. Determine if the Q(-10,8,-6) is on the plane 3. Find the coordinates of two other points in the plane 4. Find the x-intercept of the plane.

Q: Given the point A(2,1,-3) and B(6,-1,-5) write the vector equation and the parametric equations of…

A: Once we get vector form of the equation we can easily write the parametric form of equation of line.

Q: Find the equation of the plane containing the three points (1, 2, -4), (10, -1, 2), (10, 0, 4) in…

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Q: 2. Given a line that passes through the point (-2,1,3) and is parallel to the line joining A(1,5,3)…

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Q: 1. Given three points A(1,-2), B(2,-1), and C(0,3). Determine: a. Equation of the line through A and…

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Q: Find the equation for the plane through the points Po(-3,5,3), Qo(0, – 5,2), and Ro(1,1,- 2). The…

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Q: Describe the graph of the equation: r = 4ri – 8j + (1 + 2t)k. [Choose the correct answer.]

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Q: 3) Find equations for the lines: The line through the point D/2 g. The line through (0,-7,0)…

A: Equation of line in 3D

Q: The position vectors of the points A, B, C, D are given by a = 2i + 3j - k, b = 4j+ 5k, c = 7i-3k,…

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Q: 3. Find an equation of the plane passing through the points (1, 2, -6), (2, 3, -2), and (-1, 4, 8).…

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Q: Give the vector equation of the plane passing through P, Q, and R. P = (8, 8, 8), Q = (4, 0, 2), R =…

A: The answer is given below:

Q: Consider the line passing through the points (2, -3,4) and (5,10, -12). Describe the line by a.…

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Q: If P1 is (1,3,-1) and P2 is (-3,2,4), find the vector equation of the line P1P2. Determine the…

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Q: Find a general equation of the plane through the point (2,9, 6) and parallel to the plane x + 5y +…

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Q: 3. Given two points P(4,0,2) and Q(2,-1,3), find the equations of the vector PQ, the line passing…

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