Question
Download Solution PDFनिम्न रेखाओं के युग्म के बीच का कोण ज्ञात कीजिए
\(\frac{{x - 5}}{3} = \frac{{y + 2}}{5} = \frac{{z + 2}}{4}\)
और \(\frac{{x - 1}}{1} = \frac{{y - 3}}{1} = \frac{{z - 3}}{2}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा :
दिशा अनुपात \(\left\langle {{a_1},\;{b_1},\;{c_1}} \right\rangle \)और \(\left\langle {{a_2},\;{b_2},\;{c_2}} \right\rangle \) वाली रेखाओं के बीच का कोण निम् द्वारा दिया जाता है: \(\cos {\bf{\theta }} = \;\frac{{{{\bf{a}}_1}{{\bf{a}}_2} + \;{{\bf{b}}_1}{{\bf{b}}_2} + {{\bf{c}}_1}{{\bf{c}}_2}\;}}{{\sqrt {{\bf{a}}_{1\;}^2 + \;{\bf{b}}_1^2 + \;{\bf{c}}_1^2} \sqrt {{\bf{a}}_{2\;}^2 + \;{\bf{b}}_2^2 + \;{\bf{c}}_2^2} }}\)
Last updated on Jun 19, 2025
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