AP EAMCET · Maths · Vector Algebra
Three vectors \(\bar{a}, \bar{b}, \bar{c}\) satisfy the condition \(\bar{a}+\bar{b}+\bar{c}=\overline{0}\).
If \(|\bar{a}|=1,|\bar{b}|=3,|\bar{c}|=4\) then \(\bar{a} \cdot \bar{b}+\bar{b} \cdot \bar{c}+\bar{c} \cdot \bar{a}=\)
- A \(12\)
- B \(-12\)
- C \(-13\)
- D \(13\)
Answer & Solution
Correct Answer
(C) \(-13\)
Step-by-step Solution
Detailed explanation
\((\vec{a}+\vec{b}+\vec{c})^2=|\vec{a}|^2+|\vec{b}|^2+|\vec{c}|^2+2(\vec{a} \cdot \vec{b}+\vec{b} \cdot \vec{c}+\vec{c} \cdot \vec{a})\)…
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