Algebra

Vectors are a profound invention. In science and technology, they provide a simple model for visualizing difficult concepts such as force, velocity, and electric fields. Vectors are essential to creating today's amazing computer graphics.

Dot product of vectors is an operation on vectors. Some of the applications of dot product are in solar energy, physics, and computer graphics.

A few specific examples are:•Measuring rainfall

•Finding the braking load of a car from rolling down a hill at an angle

•Finding the force required to hold a wagon on a hill

•Finding an angle of a ramp to load furniture or other articles into a truck

•Air navigation—finding groundspeed and direction of an airplane in the wind

•Finding speed and direction of a swimmer when swimming in a river with current

You are required to:•Pick a real-life application in which dot product of vector is used.

•Describe the application in a paragraph of at least 100 words.

•State which branch of science/engineering this application belongs.

•Write the question posed in the application that needs to be solved.

•Execute the dot product to solve the question posed.