Free course

Vectors and conics

Free statement of participation on completion

Attempts to answer problems in areas as diverse as science, technology and economics involve solving simultaneous linear equations. In this free course, Vectors and conics, we look at some of the equations that represent points, lines and planes in mathematics. We explore concepts such as Euclidean space, vectors, dot products and conics.

Course learning outcomes

After studying this course, you should be able to:

  • recognise the equation of a line in the plane
  • determine the point of intersection of two lines in the plane, if it exists
  • recognise the one-one correspondence between the set of points in three-dimensional space and the set of ordered triples of real numbers
  • recognise the equation of a plane in three dimensions
  • explain what are meant by a vector, a scalar multiple of a vector, and the sum and difference of two vectors.

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If you want to be able to track your progress, earn a free Statement of Participation, and access all course quizzes and activities, sign-up.

Course content