c) Identify the Miller indices of this plane: 2/3
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- The functions ¢1(x) and ø2(x) are normalized: d φ( (α) φι(α) dx 0(x) 62(x) = 1 = 1 -00 -00 and are mutually orthogonal dx oi(x) $2(x) dx 4i(x) $1(x) = 0 . Is the function b_(x) = ¢1(x) – $2(x) normalized? If not, determine its normalization constant and write the formula for the normalized y_ (x). Is the function +(x) = ¢1(x) + ¢2(x) %3D orthogonal to _(x)?Determine the indices for the direction shown in the following cubic unit cell: X Answer: Z For negative indexes use in front of the number. Use the proper type of brackets and no spaces. Answer: NIL Determine the Miller indices for the plane shown in the following unit cell: NIH y WIT For negative indexes use in front of the number. Use the proper type of brackets and no spaces.b) Write down the two components of the geodesic equation.
- What is the angle θDθDformed by D⃗ (from the picture) and the +x+xaxis? Use counterclockwise to denote positive angles. Answer with 2 significant figures.Determine the Miller indices for the directions A, B, C and D shown in the following cubic unit cell.If =- 3;-63+ 1kand č= - 33 - 23- 3g, what is the magnitude of č x B (give your answer to the nearest 0.1)?
- In part a, Why does your I go from from 4.54 x 10^-4 to 4.66 x 10^-4 in the final equation?Evaluate the dot product A - Bif A = 2i +7j and B = 7i – 5j. ? A-B= Submit Request Answer Part B Evaluate the dot product A - Bif à = 2î – 7j and B = 5i +7j.a) Write down the metric and the inverse metric, and use the definitionrpµv = 1/2gpσ(δµgvσ + δvgµσ - δσgµv) = rpvµto reproduce the results written above for rθ ØØ and rØ θØ.