AP EAMCET · Maths · Vector Algebra
If \(\overline{e_1}, \overline{e_2}\) are two non-collinear unit vectors such that \(\left|\bar{e}_1+\bar{e}_2\right|=\sqrt{3}\) then \(\left(2 \bar{e}_1-5 \bar{e}_2\right),\left(3 \bar{e}_1+\bar{e}_2\right)=\)
- A \(\frac{11}{2}\)
- B \(\frac{-11}{2}\)
- C \(\frac{9}{2}\)
- D \(\frac{-9}{2}\)
Answer & Solution
Correct Answer
(B) \(\frac{-11}{2}\)
Step-by-step Solution
Detailed explanation
Given \(\overrightarrow{\mathrm{e}_1} \cdot \& \overrightarrow{\mathrm{e}_2}\) are units vectors, then \(\left|\overrightarrow{\mathrm{e}_{\mathrm{i}}}\right|=1=\left|\overrightarrow{\mathrm{e}_2}\right|\) Now,…
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