A vector has both magnitude and direction, while a scalar has only magnitude. Vectors are represented by arrows, with the length of the arrow representing the magnitude and the direction of the arrow representing the direction. Scalars are represented by a single number.
To find the projection of a vector onto another vector, you first need to find the dot product of the two vectors. Then, divide the dot product by the magnitude of the vector onto which you are projecting. Finally, multiply this value by the vector onto which you are projecting to get the projection.
No, scalars cannot be projected onto vectors because they do not have a direction. Projection involves finding the component of one vector in the direction of another vector, which cannot be done with a scalar.
To determine if two vectors are orthogonal, you need to find the dot product of the two vectors. If the dot product is equal to zero, then the vectors are orthogonal. This means that the angle between the two vectors is 90 degrees and they are perpendicular to each other.
Projection is the component of one vector in the direction of another vector, while the component of a vector is the magnitude in a specific direction. The projection is a scalar value, while the component is a vector. In other words, projection is a specific type of component of a vector.