TS EAMCET · Maths · Vector Algebra
If three unit vectors \(\overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}}, \overrightarrow{\mathbf{c}} \quad\) satisfy \(\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}+\overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{0}}\), then the angle between \(\overrightarrow{\mathbf{a}}\) and \(\overrightarrow{\mathbf{b}}\) is
- A \(\frac{2 \pi}{3}\)
- B \(\frac{5 \pi}{6}\)
- C \(\frac{\pi}{3}\)
- D \(\frac{\pi}{6}\)
Answer & Solution
Correct Answer
(A) \(\frac{2 \pi}{3}\)
Step-by-step Solution
Detailed explanation
Given, condition is \(\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}\) ...(i) and \(\overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}}, \overrightarrow{\mathbf{c}}\) are the unit vectors. Then \(\quad|\vec{a}|=|\vec{b}|=|\vec{c}|=1\) Let the angle between…
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