Box answers!

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Box answers!

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Consider the following planes. x + y + z = 9, x + 7y + 7z = 9 (a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (x(t), y(t), z(t)) = = (b) Find the angle between the planes. (Round your answer to one decimal place.) o
Find parametric equations for the line through the point (0, 2, 2) that is parallel to the plane x + y + z = 3 and perpendicular to the line x = 1 + t, y = 2 – t, z = 2t. (Use the parameter t.) (x(t), y(t), z(t)) = = (
Find an equation of the plane. The plane through the origin and the points (3, -2, 8) and (9, 4, 1) x
Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (1, 0,5) and perpendicular to the plane x + 3y + z = 7 r(t) = x (x(t), y(t), z(t)) = ) x
Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (8, -5, 6) and parallel to the vector (1,3, (1,3,- 3) r(t) 2t 3 = 8+t, – 5 + 31,6 – (x(t), y(t), z(t)) 2t 3 = (, 8 +t, -5 + 35,6 )