## Section Content

At the end of this section, students should be able to:

- express a vector in the form \(\begin{pmatrix} x\\y \\z \end{pmatrix}\) or \(xi+yj+zk\) where \(i, j\) and \(k\) are unit vectors in the direction of \(x-, y-\) and \(z-\) axis respectively;
- define equality of two vectors;
- add and subtract vectors;
- multiply a vector by a scalar quantity;
- derive and use unit vectors, position vectors and displacement vectors;
- find the magnitude and direction of a vector;
- find the angle between two vectors using scalar product;
- find the equation of a line in vector form, parametric form, Cartesian form, given a point on the line and a vector parallel to the line;
- determine whether two lines are parallel, intersecting or skewed;
- find the equation of the plane, in the form \(xi+yj+zk=d\), \(r.n=d\), given a point in the plane and the normal to the plane.