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  • The incident ray, reflected ray and the outward draw normal are denoted by the unit vectors <img alt="\overrightarrow{a},\overrightarrow{b} and \overrightarrow{c}" src="https://entrancecorner.codecogs.com/gif.latex?%5Coverrightarrow%7Ba%7D%2C%5Cov

The incident ray, reflected ray and the outward draw normal are denoted by the unit vectors \overrightarrow{a},\overrightarrow{b} and \overrightarrow{c} respectively. The choose the correct relation for these vectors.
Option: 1 \overrightarrow{b}=\overrightarrow{a}+2 \overrightarrow{c}
Option: 2 \overrightarrow{b}=2\overrightarrow{a}+ \overrightarrow{c}
Option: 3 \overrightarrow{b}=\overrightarrow{a}-2(\overrightarrow{a}.\overrightarrow{c})\overrightarrow{c}
Option: 4 \overrightarrow{b}=\overrightarrow{a}- \overrightarrow{c}

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\begin{array}{l} \overrightarrow{\mathrm{a}}=\sin \theta \hat{\mathrm{i}}-\cos \theta \hat{\mathrm{j}} \\ \overrightarrow{\mathrm{b}}=\sin \theta \hat{\mathrm{i}}+\cos \theta \hat{\mathrm{j}} \\ \overrightarrow{\mathrm{c}}=\hat{\mathrm{j}} \\ \overrightarrow{\mathrm{a}}-2(\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{c}}) \overrightarrow{\mathrm{c}}=\sin \theta \hat{\mathrm{i}}+\cos \hat{\theta \mathrm{j}} \end{array}

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Deependra Verma

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