The angle between the two vectors $\vec A = 3\hat i + 4\hat j + 5\hat k$ and $\vec B = 3\hat i + 4\hat j + 5\hat k$ is ....... $^o$
The angle between the two vectors $\vec A = 3\hat i + 4\hat j + 5\hat k$ and $\vec B = 3\hat i + 4\hat j + 5\hat k$ is ....... $^o$
$60$
$0$
$90$
None of these
The angle between the two vectors $\vec A = 3\hat i + 4\hat j + 5\hat k$ and $\vec B = 3\hat i + 4\hat j + 5\hat k$ is ....... $^o$
$\cos \theta = \frac{{\overrightarrow A .\overrightarrow B }}{{|A||B|}} = \frac{{9 + 16 + 25}}{{\sqrt {9 + 16 + 25} \sqrt {9 + 16 + 25} }}$
$=\frac{{50}}{{50}} = 1\rightarrow \cos \theta = 1$
$\therefore \theta = {\cos ^{ - 1}}(1)$