Mth203(exam1review) - MTH203 Review Problems(EXAM#1) Q1....

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MTH203 Review Problems(EXAM#1) Q1. Find parametric equations for the line passing through (1,0,1) and parallel to the line with parametric equations x = 4t, y = 1-3t, z = 2 + 5t. Q2. Find an equation of the plane that passing through (-4,1,2) and parallel to the plane x + 2y + 5z = 3. Q3. Determine whether the lines given by the symmetric equations x ? 1 2 = y ? 2 3 = z ? 3 4 and x + 1 6 = y ? 3 ? 1 = z + 5 2 are parallel, skew or intersect. Q4. a)Show that the planes x + y-z = 1 and 2x-3y + 4z = 5 are neither parallel nor perpendicular. b) Find the angle between these planes. Q5. Find the distance from the point (6,2,-1) to the plane 3x + y-4z = 2. Q6. Compute the distance between the planes 3x + 6y-9z = 4 and x-2y-3z = 1. Q7. Find the angle between the plane 3x-y + 2z = 4 and the line x ? 1 3 = y + 5 1 = z + 1 ? 2 . Q8. Find the distance from the point P(1,1,1) to the line § : x = 1 + t , y = 3 ? t , and z = 2 + 5 t , t 5 R . Q9. Find the limit or show that it does not exist
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This note was uploaded on 10/20/2008 for the course MATHS MTH 203 taught by Professor None during the Spring '08 term at American University of Sharjah.

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