realplayer1 said:From Lookout No.1, a fire is spotted on a bearing of 050 degrees. From Lookout No.2, a fire is spotted on a bearing of 020 degrees. Lookout No.2 is 10 kilometers apart from Lookout No.1 on a bearing of 120 degrees. Assuming that the fire and the two lookouts are all on the same horizontal level, find how far the fire is from each lookout.
Vectors in mathematics are mathematical objects that represent both magnitude and direction. They are commonly used in physics and engineering to represent physical quantities and their direction.
To add two or more vectors, you will need to add the corresponding components of each vector. For example, if you have two vectors A = (2,3) and B = (1,4), the sum of these two vectors would be A + B = (2+1, 3+4) = (3,7).
The magnitude of a vector is the length of the vector, which can be found using the Pythagorean theorem. If a vector is represented as (x,y) in a coordinate system, the magnitude can be calculated as √(x² + y²).
Yes, vectors can be multiplied. There are two types of vector multiplication - dot product and cross product. Dot product results in a scalar quantity, while cross product results in a vector quantity.
Vectors have a wide range of applications in the real world, from representing forces in physics to analyzing motion in engineering. They can also be used in computer graphics, navigation, and even in economics. Understanding vectors can help solve many real-world problems and make complex calculations more manageable.