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
This is the end of the preview. Sign up
access the rest of the document.
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.