Introduction to Dot Product (Scalar Product) Practice Problems
The scalar product is useful in finding the angle between two vectors. Find the scalar product of vectors M and N for M = 3.00 i + 2.00 j and N = 9.00 i − 4.00 j.
The scalar product is useful in finding the angle between two vectors. Find the angle between the two vectors M and N given M = 5.00 i + 4.00 j and N = 3.00 i − 7.00 j.
A lion stalks a deer grazing in front of a pine tree. When close enough, it attempts a short charge. To reach a safe place, the deer can take two routes. It can go 400 paces north and then 200 paces west, but there are a lot of hyenas on the way, or it can set off along a brick path at a 50° angle west of north. After running 300 paces along the brick path, the deer see a way to the safe place. How far, and in which direction (as an angle east of north) should the deer run to reach the safe place?