Find an equation of the plane that passes through the point P(3, 5, 1) and has the vector n = (1, 8, 8) as a norma %3D O 3x + 5y + z – 51 = 0 O x+ 8y + 8z – 51 = 0 Ox+ 8y + 8z = 0 Ox+ 8y + 8z + 51 = 0 O 3x + 5y + z + 51 = 0

Q: Find a scalar equation of the plane containing the line and the point (-5, -1,5). x = 6 +8t, y=-1-3t…

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

A: We have to find the equation of the plane passing through the point (4,-1,-5) and perpendicular to…

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Q: 1. Determine whether the points A(3,4,-1) and B(1,-1,0) lie on the line with vector equation…

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Q: Find the B-coordinate vector for p(t) = -6+10t-7t² B={1-2t+t², 4-7t +5t², 5-8t+8t²} Enter your…

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Q: The terminal point of the vector v = 3i -j+ 5k with initial point (2, 5, -5) is Do not leave any…

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Q: Find the equation for the plane through the point Po = (2,10,7) and normal to the vector n = 9i + 2j…

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Q: Find the vector equation for the line of intersection of the planes 4x - y + 3z = 1 and 4x + 2z = −1…

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Q: Find the vector equation for the line of intersection of the planes 5x + 3y2z = -1 and 5x + 5z = -4…

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Q: Find the equation of the plane that passes through the point (−2, 8, 4) and contains vectors ⃗a…

A: The equation of plane passing through the point x0, y0, z0 and contins vector a→ amd b→ is n1(x -…

Q: Suppose the straight lines L₁ and L2 have respective vector equations 5 4 r1 = -3 + t 3 where s and…

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Q: 30. Find an equation of the plane that contains the points (-2, 1, 4) and (0, 3, 1) and contains a…

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