3-1.Vectors
medium

સદિશ $ \vec A = 4\hat i + 3\hat j + 6\hat k $ અને $ \vec B = - \hat i + 3\hat j - 8\hat k $ નો પરિણામી સદિશની દિશામાંનો એકમ સદિશ નીચે પૈકી કયો થશે?

A$ \frac{1}{7}(3\hat i + 6\hat j - 2\hat k) $
B$ \frac{1}{7}(3\hat i + 6\hat j + 2\hat k) $
C$ \frac{1}{{49}}(3\hat i + 6\hat j - 2\hat k) $
D$ \frac{1}{{49}}(3\hat i - 6\hat j + 2\hat k) $

Solution

(a)Resultant of vectors $\overrightarrow A $ and $\overrightarrow B $$\overrightarrow R = \overrightarrow A + \overrightarrow B = 4\hat i + 3\hat j + 6\hat k – \hat i + 3\hat j – 8\hat k$$\overrightarrow R = 3\hat i + 6\hat j – 2\hat k$$\hat R = \frac{{\overrightarrow R }}{{|\vec R|}} = \frac{{3\hat i + 6\hat j – 2\hat k}}{{\sqrt {{3^2} + {6^2} + {{( – 2)}^2}} }} = \frac{{3\hat i + 6\hat j – 2\hat k}}{7}$
Standard 11
Physics

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.