AP EAMCET · Maths · Vector Algebra
If \(\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}+\overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{0}}\) and \(|\overrightarrow{\mathbf{a}}|=3,|\overrightarrow{\mathbf{b}}|=4\) and \(|\overrightarrow{\mathbf{c}}|=\sqrt{37}\), then the angle between \(\overrightarrow{\mathbf{a}}\) and \(\overrightarrow{\mathbf{b}}\) is :
- A \(\frac{\pi}{4}\)
- B \(\frac{\pi}{2}\)
- C \(\frac{\pi}{6}\)
- D \(\frac{\pi}{3}\)
Answer & Solution
Correct Answer
(D) \(\frac{\pi}{3}\)
Step-by-step Solution
Detailed explanation
\(\because \overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}+\overrightarrow{\mathbf{c}}=0\) \(\Rightarrow \quad \overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}=-\overrightarrow{\mathbf{c}}\)…
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