Question
Download Solution PDFयदि λî + 2λĵ + 2λk̂ एक इकाई सदिश है, तो λ का मान है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
दिया गया है, λî + 2λĵ + 2λk̂ एक इकाई सदिश है।
∴ \(\left|λ \hat{i} +2λ \hat{j}+2λ \hat{k}\right|=1\)
⇒ \(\sqrt{λ ^{2}+(2λ )^{2}+(2λ )^{2}}=1\)
⇒ \(\sqrt{λ ^{2}+4λ ^{2}+4λ ^{2}}=1\)
⇒ \(\sqrt{9λ ^{2}}=1\)
⇒ 3λ = 1
⇒ \(\lambda=\frac{1}{3} \)
Last updated on Jun 19, 2025
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