i cant share pictures on here anymore
Glide reflection
translation and reflection are alike in the sense that they are generally both examples of an image being moved or changed, however translation is the movement of an image along a vector while reflections reflects an image over a given axis.
A perpendicular vector is a vector that forms a right angle (90 degrees) with another vector in a given space. This means that the dot product of two perpendicular vectors is zero, indicating that they are orthogonal to each other.
Translation along a vector involves moving an object in a specific direction by a specified distance based on the properties of the vector. This operation involves shifting the object without rotating or changing its orientation, following the direction and magnitude of the vector.
The direction of the vector product a x d is perpendicular to both vectors a and d, following the right-hand rule.
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The component of a vector x perpendicular to the vector y is x*y*sin(A) where A is the angle between the two vectors.
The zero vector is not perpendicular to all vectors, but it is orthogonal to all vectors.
That is not even true!
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
No, the curl of a vector field is a vector field itself and is not required to be perpendicular to every vector field f. The curl is related to the local rotation of the vector field, not its orthogonality to other vector fields.
The cross product gives a perpendicular vector because it is calculated by finding a vector that is perpendicular to both of the original vectors being multiplied. This property is a result of the mathematical definition of the cross product operation.