Question
Download Solution PDFভেক্টর -2î + 3ĵ এর সমান্তরাল একটি একক ভেক্টর নির্ণয় করুন?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFঅনুসৃত ধারণা:
একক ভেক্টর সমান্তরাল \(\vec{a}=\hat{a}=\frac{\vec{a}}{\left |\vec{a} \right |}\)
গণনা:
ধরুন \(\vec{a}\) = -2î + 3ĵ
\(\Rightarrow \left | \vec{a} \right |=\sqrt{(-2)^2+3^2}=\sqrt{13}\)
∴ একক ভেক্টর সমান্তরাল \(\vec{a}=\hat{a}=\frac{\vec{a}}{\left |\vec{a} \right |}\)
\(\Rightarrow \frac{1}{\sqrt{13}}(-2\hat{i}+3\hat{j})\)
\(\Rightarrow \frac{-2\hat{i}}{\sqrt{13}}+\frac{3\hat{j}}{\sqrt{13}}\)
Last updated on May 31, 2025
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