Question

Find the vector of length 2 making an angle of 45^\circ with the x-axis. round to 6 decimals places or give an exact answer in terms of sine and cosine.

Answer 1

For this case we have the following vector:
 v = 2 * (cosine (45) i + sine (45) j)
 Rewriting we have:
 v = 2 * (cosine (45) i + sine (45) j)
 v = 2 * ((0.707107) i + (0.707107) j)
 v = (1.414214) i + (1.414214) j
 Answer:
 the vector of length 2 making an angle of 45 with the x-axis is:
 v = (1.414214) i + (1.414214) j