Vector word problems

The  exercise appears under the Precalculus Math Mission. This exercise explores applications of vectors to real-life problems.

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


 * 1) Interpret the size and direction: This problem provides a real-life context problem that applies vectors. The student is expected to interpret the situation and answer the related questions.Vwp1-1.png

Strategies
Knowledge of and comfort with vector operations 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).
 * 3) The basic arithmetic operations (addition, subtraction and scalar multiplication) on vectors occur component-wise.

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) Most of the problems in this exercise are real-life applications.