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Unformatted text preview: Study Guide for the 1st Exam MTH241 Exam Date: 10th October 2011. In Class Exam Covers Sections 12 . 1- 12 . 5 and 13 . 1- 13 . 4 You must know the followings 1. Details of Dot Product , Cross Product and Vector Triple Product . Scalar and Vec- tor projection. 2. Volume of a Parallelepiped and area of a Triangle. Condition of three vectors are coplanar and the conditon of three points are colinear. 3. Find the equation of a straight line passing through a given point and parallel to a given vector. 4. Find the equation of a straight line passing through two given points. 5. Express equation of a straight line in both symmetric and parametric form. 6. Find the conditions when two straight lines are Parallel , Perpendicular , Intersecting or Skew . 7. Find the equation of a Plane which passes through a given point and contains a given straight line. 8. Find the line of intersection of two planes....
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