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Find the angle between the planes 15x−25y+z=−18 and 9x+3y+19z=−6. Round to the nearest degree, and do...

Find the angle between the planes 15x−25y+z=−18 and 9x+3y+19z=−6. Round to the nearest degree, and do not include the degree symbol in your answer.

Find the parametric equations for the line segment between the points P(−3,5,9) and Q=(4,−7,2) so that the line segment extends from P at t=0 to Q at t=1. Enter the three coordinate equations in the form x=f(t), y=g(t), z=h(t).

Find an equation of the sphere that has center C(2,4,5) and is tangent to the xy-plane.

Find the distance between the points (2,−4,7) and (−3,−2,1). Give an exact answer.

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