SOLUTION: Mrs. James is in a car and travels 4 miles north and then 13 miles west. She realized she was lost and so she resumed traveling 11 miles south and 7 miles east. Give the component

Algebra ->  Formulas -> SOLUTION: Mrs. James is in a car and travels 4 miles north and then 13 miles west. She realized she was lost and so she resumed traveling 11 miles south and 7 miles east. Give the component       Log On


   

Question 1180710: Mrs. James is in a car and travels 4 miles north and then 13 miles west. She realized she was lost and so she resumed traveling 11 miles south and 7 miles east. Give the component form for the vector that represents the overall path of Mrs. James’ car.
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.

The vector has the components


    4 - 11 = -7  miles north

and

    -13 + 7 = -6 miles east.


In the coordinate system with the axes (east,north) the vector is (-6, -7)  miles.

Answered and carefully explained.