ABSTRACT

Greek words, "ortho", meaning "right" and "gonia" meaning "angle" using the Academic Press Dictionary of Science and Technology the wor.d "orthogonal" is said to be perpendicular, normal or having au inner product equal to zero. In elementary geometry two lines or curves are orthogonal if they are perpendicular at their point of intersection. In vector algebra,two vectors u and v of the real plane R2, or the real space R3, are orthogonal if Qnd only if their dot product n.y = 0 .This condition has been exploited to define orthogonality in the most abstract context of the n-dimensional real space R1'. Two elements u and v of an iner product space E are said to be orthogonal if the inner product of u and v is equal to zero. An inner product space is a vector space on which an inner product is defined for an inner product space consisting of vectors