Question
Download Solution PDFबिंदु A (1, 0, 2) और B (3, 9, 6) से गुजरने वाली रेखा का सदिश समीकरण ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
माना कि \(\vec a \ and \ \vec b\) क्रमशः A और B के स्थिति सदिश हैं, फिर A और B से गुजरने वाली रेखा का सदिश समीकरण इसप्रकार है: \(\vec{r}= \vec{a}+ \lambda ( \vec{b}-\vec{a} )\)
गणना:
दिया गया: आवश्यक रेखा बिंदु A (1, 0, 2) और B (3, 9, 6) से होकर गुजरती है।
तो, बिंदु A (1, 0, 2) और B (3, 9, 6) के स्थिति सदिश क्रमशः \(\vec{a}= \hat{i}+2\hat{k}\) और \(\vec{b}= 3\hat{i}+9\hat{j}+6\hat{k}\) हैं।
∴ आवश्यक रेखा का सदिश समीकरण \(\vec{r}= \hat{i}+\hat{2k}+ \lambda ( 2\hat{i}+9\hat{j}+4\hat{k} )\) है।
इसलिए, विकल्प 1 सही है ।
Last updated on Jun 20, 2025
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