A linear transformation has this property if it preserves the inner product, and the functions sine and cosine have this property with respect to the Lesbesgue measure. This type of matrix is a unitary matrix with all entries real, and the Gram-Schmidt process can take a set of vectors and produce another set that is both this and normal, a special kind of basis. This is also the relationship between two vectors with a dot product of zero and two
A linear transformation has this property if it preserves the inner product, and the functions sine and cosine have this property with respect to the Lesbesgue measure. This type of matrix is a unitary matrix with all entries real, and the Gram-Schmidt process can take a set of vectors and produce another set that is both this and normal, a special kind of basis. This is also the relationship between two vectors with a dot product of zero and two lines whose slopes are negative reciprocals. FTP, identify this property possessed by the diagonals of a rhombus and the sides of a square.
A linear transformation has this property if it preserves the inner product, and the functions sine and cosine have this property with respect to the Lesbesgue measure.
{orthogonal} (accept perpendicular after the {phrase} “{dot product}”)