tnutty said:Homework Statement
Find a unit vector that has the same direction as the given vector.
8i - j + 4k
The Attempt at a Solution
I got
sqrt(81) * (8i - j + 4k). The book has 1/9 * (8i-j+4k).
Why exactly is that?
Because you forgot to divide the vector by its length instead of multiply, and you have forgotton what sqrt(81) is.
Quick vectors are short, simplified representations of a larger, more complex vector. They are often used in physics and engineering to make calculations and problem-solving easier.
Quick vectors are simplified versions of regular vectors, meaning they have fewer components and are easier to manipulate. They also often have a specific direction and magnitude, while regular vectors can have varying directions and magnitudes.
Quick vectors are used in a variety of fields, including physics, engineering, and computer science. They are used to represent forces, velocities, and other physical quantities in a simplified manner, making it easier to solve complex problems.
Yes, quick vectors can be added or subtracted just like regular vectors. However, since they are simplified versions, the resulting vector may not be as accurate as using regular vectors.
To create a quick vector, you first need to identify the direction and magnitude of the vector you want to represent. Then, you can use a diagram or a list of simplified components to create your quick vector. It's important to note that quick vectors are not always as accurate as regular vectors, so they should be used with caution.