AP EAMCET · Maths · Vector Algebra
If \(\bar{a}, \bar{b}, \bar{c}\) are three unit vectors such that \(|\bar{a}-\bar{b}|^2+|\bar{b}-\bar{c}|^2+|\bar{c}-\bar{a}|^2=15\), then \(|\bar{a}-\bar{b}-\bar{c}|^2-4(\bar{b} \cdot \bar{c})=\)
- A \(6\)
- B \(15\)
- C \(12\)
- D \(10\)
Answer & Solution
Correct Answer
(C) \(12\)
Step-by-step Solution
Detailed explanation
\( |\bar{a}-\bar{b}|^2+|\bar{b}-\bar{c}|^2+|\bar{c}-\bar{a}|^2=15 \) \( (|\bar{a}|^2+|\bar{b}|^2-2\bar{a}\cdot\bar{b})+(|\bar{b}|^2+|\bar{c}|^2-2\bar{b}\cdot\bar{c})+(|\bar{c}|^2+|\bar{a}|^2-2\bar{c}\cdot\bar{a})=15 \)…
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