Aa geometry lo vectors orientation ni quantify cheyyadaniki direction cosines (l, m, n) and direction ratios use chestaru. Mari aa l² + m² + n² = 1 ante, adi just unit vector ni represent cheyyadam, kaani naaku X-ray diffraction patterns vishayam rasta appudu... perfect ga aligned kaani crystal directions kosam nenu ivanni approximate ga ne treat chesta. Naa life lo, exact theory kanna, amma cheptundi—'dum' lo pettina biryani correct ga distribute avvali ani, ala ne naa calculations kuda lab conditions ki adjust avvali.
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