Consider the points P(1, -3, 4) and Q(0,2,5) and the plane 7 with equation 2x + y — 3x+1 = 0. (a) Find the vector of length 3 in the direction opposite to the one of PQ. (b) Find an equation of the plane that passes through the point P and is parallel to the plane π. (c) Find parametric equations of the line that passes through perpendicular to the plane T.

Q: Find a set of parametric equations for the line passing through the point (6, 0, 7) that is parallel…

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Q: sertar Reproducción Find the coordinates of points P and Q that are contained in two non-parallel…

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Q: The line ℓ is given by the equations x −2y + z = 2 and x + y −3z = 4. That is, ℓ consists of all…

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Q: Where does the line with parametric equations −1+3t y = 2 - 2t 2 = 3+ t intersect the plane 3x + y -…

A: Given parametric equation of line x = -1 + 3t y = 2 - 2t z = 3 + t Given plane 3x + y - 4z = -4

Q: Question 1 ( Consider the points A(2,-1,0), B(-3, 0, -2), and C(0, 3,-1). (b) Find the parametric…

A: Since A≡(2,-1,0), B≡(-3,0,-2) and C≡(0,3,-1). So AB→=-5i+j-2k, AC→=3i+4j-k and BA→=5i-j+2k. Thus…

Q: Find the parametric equation for the line where the planes -7x + 7y - z = 20 and 2x + 7y + 2z = 23…

A: Please see the below steps for detailed solution.Explanation:Step 1: Given −7x+7y−z=20 and…

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Let ū = (-2, –3) and d= (1,4). (a) What is the parametric equation of the line through i with…

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Q: 2. Determine parametric equations of the line that.... 4 a) passes through (-9,8) with slope - 5 b)…

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Q: If not, find a parametric equation of the line of intersection of the two planes. Find, correct to…

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