AP EAMCET · PHYSICS · Mathematics in Physics
Two vectors \(\overrightarrow{\mathrm{a}}\) and \(\overrightarrow{\mathrm{b}}\) are at an angle of \(60^{\circ}\) with each other. Their resultant makes an angle of \(45^{\circ}\) with \(\overrightarrow{\mathrm{a}}\). If \(|\vec{b}|=2\) units, then \(|\vec{a}|\) is
- A \(\sqrt{3}\)
- B \(\sqrt{3}-1\)
- C \(\sqrt{3}+1\)
- D \(\frac{\sqrt{3}}{2}\)
Answer & Solution
Correct Answer
(B) \(\sqrt{3}-1\)
Step-by-step Solution
Detailed explanation
Angle between the vectors is, \(\theta=60^{\circ}\). Angle between resultant and \(\vec{a}\) is, \(\phi=45^{\circ}\). The above is shown in the below figure, From parallelogram law, \(\phi \& \theta\) is related as,…
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