Question
Download Solution PDFयदि मूल और बिंदु P (2, 3, 4), Q (1, 2, 3) और R (x, y, z) समतलीय हैं तो:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
यदि तीन सदिश समतलीय हैं तो उनका अदिश त्रिक गुणनफल शून्य है।
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गणना:
दिया है कि मूल और बिंदु P (2, 3, 4), Q (1, 2, 3) और R (x, y, z) समतलीय हैं
⇒
⇒
⇒
यहाँ,
तीन सदिश समतलीय हैं तो यदि उनका अदिश त्रिक गुणनफल शून्य है।
⇒
⇒
⇒ x(9 - 8) - y(6 - 4) + z (4 - 3) = 0
⇒ x - 2y + z = 0
इसलिए, यदि मूल और बिंदु P (2, 3, 4), Q (1, 2, 3) और R (x, y, z) समतलीय हैं तो x - 2y + z = 0
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