Question
Download Solution PDFसदिश -2î + 3ĵ के समानांतर एक इकाई सदिश खोजें।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
\(\vec{a}=\hat{a}=\frac{\vec{a}}{\left |\vec{a} \right |}\) के समानांतर इकाई सदिश
गणना:
माना \(\vec{a}\) = -2î + 3ĵ
\(\Rightarrow \left | \vec {a} \right |=\sqrt{(-2)^2+3^2}=\sqrt{13}\)
∴ \(\vec{a}=\hat{a}=\frac{\vec{a}}{\left |\vec{a} \right |}\) के समानांतर इकाई सदिश
\(\Rightarrow \frac{1}{\sqrt{13}}(-2\hat{i}+3\hat{j})\)
\(\Rightarrow \frac{-2\hat{i}}{\sqrt{13}}+\frac{3\hat{j}}{\sqrt{13}}\)
Last updated on Jun 20, 2025
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