Question
Download Solution PDFबिंदु (-2, 3, 1) और (1, 2, -3) को मिलाने वाली रेखा के दिशा कोसाइन के वर्गों का योग क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
माना कि A = (x1, y1 , z1) और b = (x2, y2 , z2) रेखा AB के कोई भी दो बिंदु हैं।
AB का दिशा अनुपात = (x, y, z) = (x1 - x2, y1 - y2, z1 - z2 )
और दिशा कोसाइन =
गणना:
माना कि A = (x1, y1 , z1) और b = (x2, y2 , z2) रेखा AB के कोई भी दो बिंदु हैं।
AB का दिशा अनुपात = (x, y, z) = (x1 - x2, y1 - y2, z1 - z2 )
बिंदु (-2, 3, 1) और (1, 2, -3) को मिलाने वाली रेखा के दिशा अनुपात = [(-2 - 1), (3 - 2), (1 - (3)] = (-3, 1, -2)
(x, y, z)को मिलाने वाली रेखा के दिशा अनुपात = (-3, 1, -2)
अब, r =
दिशा कोसाइन =
बिंदु (-2, 3, 1) और (1, 2, -3) को मिलाने वाली रेखा के दिशा कोसाइन =
दिशा कोसाइन के वर्गों का योग
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