We present a new orthogonality which is based on p-angular distance in normed linear spaces. This orthogonality generalizes the Singer and isosceles orthogonalities to a vast extent. Some important properties of this orthogonality, such as the -existence and the -diagonal existence, are established with giving some natural bounds for . It is shown that a real normed linear space is an inner product space if and only if the p-angular distance orthogonality is either homogeneous or additive. Several examples are presented to illustrate the results.

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