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Spectre32
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If you had two vectors, and you wanted to find a vector perpendicular to those useing th dot product, what would be needed to be done. I alreaded Doted A *dot* B and have a vector. I'm just stuck on the last part
eddo said:Just as a sidenote, another way to approach this problem if you don't "have to" use dot products, is to use the cross product. This works because the cross product of two vectors is perpendicular to both. The vector you get as an answer can than me multiplied by any scalar to make the answer look neater, although this isn't necessary.
A dot product, also known as a scalar product, is a mathematical operation that takes two vectors as input and returns a scalar value. It is calculated by multiplying the corresponding components of the two vectors and adding them together.
To find a perpendicular vector using dot product, you will need to use the formula v⊥ = v - (v · u)u, where v is the original vector and u is the unit vector in the direction of the desired perpendicular vector.
Finding a perpendicular vector using dot product is useful in many applications, such as finding the normal vector to a surface, calculating the angle between two vectors, and determining the direction of motion in physics problems.
Yes, dot product can be used to find perpendicular vectors in any number of dimensions. The formula for finding a perpendicular vector remains the same, but the calculations may become more complex as the number of dimensions increases.
Yes, there are other methods for finding perpendicular vectors, such as using cross product, or solving systems of linear equations. However, dot product is often the most straightforward and efficient method for finding perpendicular vectors.