AP EAMCET · Maths · Vector Algebra
If \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) are three vectors such that \(|\mathbf{a}|=3,|\mathbf{b}|=4\) and \(|\mathbf{c}|=5\) and \(\mathbf{a}+\mathbf{b}+\mathbf{c}=0\), then \(\mathbf{a} \cdot \mathbf{b}\) is equal to
- A 12
- B 0
- C \(\frac{12}{5}\)
- D 6
Answer & Solution
Correct Answer
(B) 0
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \mathbf{a}, \mathbf{b}, \mathbf{c} \text { are three vectors such that }|\mathbf{a}|=3 \text {, } \\ & \begin{array}{l}|\mathbf{b}|=4,|\mathbf{c}|=5 \text { and } \mathbf{a}+\mathbf{b}+\mathbf{c}=0 \\ \text { Now, } \mathbf{a}+\mathbf{b}+\mathbf{c}=0…
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