An electromagnetic wave is represented by the electric field

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Waves Sound and Physical Optics · Waves Sound and Physical Optics

Problem

An electromagnetic wave is represented by the electric field E⃗=E0n^sin⁡[ωt+(6y−8z)]\vec{E} = E_0 \hat{n} \sin[\omega t + (6y - 8z)] . Taking unit vectors in xx , yy and zz directions to be i^,j^,k^\hat{i}, \hat{j}, \hat{k} , the direction of propagation s^\hat{s} is: (1) s^=3i^−4j^5\hat{s} = \frac{3\hat{i} - 4\hat{j}}{5} (2) s^=−4k^+3j^5\hat{s} = \frac{-4\hat{k} + 3\hat{j}}{5} (3) s^=(−3j^+4k^5)\hat{s} = \left(\frac{-3\hat{j} + 4\hat{k}}{5}\right) (4) s^=3j^−3k^5\hat{s} = \frac{3\hat{j} - 3\hat{k}}{5}

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