Vector a is 5m long and points East, vector b is 3m and points North, vector c is 22 m long and points South-West. Write the following vectors in component form, assuming East is i and North is j:

i) a, ii) b, iii) c, iv) -a - b, v) 2a + c

Problem 3

Using the component form of vectors defined in Problem 1, find the parallel and perpendicular components (c and c) of vector c with respect to vector b. That is, resolve the vector c.