MathematicsCode 9709

Vectors

What this topic asks you to be able to do

  • apply the standard notations associated with vectors
  • carry out vector addition and subtraction, multiply a vector by a scalar, and give each operation a geometrical interpretation
  • find a vector's magnitude, and work with unit, displacement and position vectors
  • understand what every symbol means when a straight line's equation is written as r = a + tb, and determine the equation of a line when enough information is supplied
  • determine if a pair of lines is parallel, intersecting or skew, and find where they intersect when they do
  • apply formulae to work out the scalar product of a pair of vectors, and employ scalar products when solving problems that concern lines and points