First we look for the angle of the vector, which will be given by: tan (x) = (- 2/3) Clearing x we have: x = ATAN (-2/3) = - 33.69 degrees. Which means that the angle is 33.69 degrees measured clockwise from the x axis. Equivalently the angle is 360-33.69 = 326.31 degrees 326.31 degrees measured counterclockwise from the x axis. The vector is then: v = 10 (cos (326.31) i + sin (326.31) j) answer v = 10 (cos (326.31) i + sin (326.31) j)
When thinking about reinforcement, always remember that the end result is to try to increase the behavior, whereas punishment procedures are used to decrease behavior. For positive reinforcement, try to think of it as adding something positive in order to increase a response.
