Show that the lines ₁ and 2 are skew. l₁: [x, y, z] = [2, 5, 4] + [1, 2, 0] l₂: [x, y, z] = [-5, 5, 6] + s[-3, 0, 1] Write the equation of a plane ₁ that

Q: Find an equation for the plane through the point (0, –4, 5) which is perpendicular to the line…

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Q: bugi nе pom the equa that passes 2,1), 2(0, 2, 3) the d P3(−2, −1, −5). Then, find the distance from…

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Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: 9. Find the equation for the plane through Po(-2,3,9) perpendicular to the line x = -2 – t, y = -3 +…

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Q: Find the cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

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Q: Find the equation of the plane that passes through the points A(2, —1, 2), B(1,1, 8) and C(2, 0,…

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Q: The plane II contains the points (1,2,3), (0.1.2) and (2,3,0). The line L passes through the points…

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Q: 2. Write the symmetric equation of a line through the points (0, 2,8) and (3,-3, 4). Find where this…

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Q: Consider the lines r(t) = (2-3, +4--1) and r(s) (+4,- +3,3+6). A. Show that these two lines…

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Q: Find the equation of the plane that passes through (3,4,-1) and contains the line of intersection of…

A: To work out the equation of the required plane satisfying the given geometric conditions