Adding vectors in magnitude and direction (answer in component form)

The  exercise appears under the Precalculus Math Mission. This exercise practices adding two vectors in magnitude and direction form to get a new vector in component form.

Types of Problems
There is one type of problems in this exercise:


 * 1) Find the component form: This problem provides two vectors in magnitude/direction form. The student is asked to find the value of the find the component form and type the answer in the text box below. Adding vectors in magnitude and direction (answer in component form).PNG

Strategies
Knowledge of the transfer between rectangular and polar coordinates are encouraged to ensure success on this exercise.
 * 1) The horizontal component of a vector with magnitude $$r$$ and angle theta is $$rcos(\theta)$$.
 * 2) The vertical component of a vector with magnitude $$r$$ and angle theta is given be $$rsin(\theta)$$.

Real-life Applications

 * 1) Vectors are used to represent quantities that have size and direction.
 * 2) Forces, such as gravity, are vector quantities and are found often in physics.
 * 3) The magnitude and direction of a vector can be used to represent motion that would not be considering a proper function.