Lesson: Applications of Vectors
In this lesson, we will learn how to use vector operations to solve various real-world problems, such as navigation and physics.
Sample Question Videos
Worksheet: 25 Questions • 3 Videos
A river is one half mile wide with a current flowing at 2 miles per hour from east to west. A man can swim at 3 miles per hour in still water. He stands on the south bank, so how many degrees east of north should he head at this rate in order to travel directly north across the river? Give your answer correct to one decimal place. What would the answer to this problem be if the river flowed at 3 miles per hour and the man could swim only at the rate of 2 miles per hour?
A woman leaves home and walks 3 miles west and then 2 miles southwest. How far from home is she? In what direction must she walk to directly head home? Give the distance, in miles, correct to two decimal places and the direction, in degrees, to one decimal place.
A man started walking from home and walked 4 miles east, 2 miles southeast, 5 miles south, 4 miles southwest, and 2 miles east. How far did he walk in total? If he walked in a straight line back home, how far would he have to walk? Give your answer correct to three decimal places if necessary.