Question
Download Solution PDFp का मान ज्ञात कीजिए जिसके लिए \(p(\hat{i}+\hat{j}+\hat{k})\) एक इकाई सदिश है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया:
\(p(\hat{i}+\hat{j}+\hat{k})\) एक इकाई सदिश है।
संकल्पना:
एक सदिश का एक इकाई सदिश मूल सदिश की तरह इकाई परिमाण और दिशा का एक सदिश होता है।
सूत्र:
सदिश aî + bĵ + ck̂ का परिमाण √(a2 + b2 +c2) द्वारा दिया जाता है।
गणना:
दिए गए सदिश \(p(\hat{i}+\hat{j}+\hat{k})\) के परिमाण की गणना इस प्रकार की जा सकती है;
| \(p(\hat{i}+\hat{j}+\hat{k})\)|= |p|√(12 + 12 + 12)
= |p|√3∵यह एक इकाई सदिश है:
⇒ |p|√3 = 1
⇒ |p| = 1/√3
या p = ±1/√3
Last updated on May 26, 2025
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