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Please help: Draw direction vectors in unit cells for the following cubic directions:
[-1,-1,3]
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- Draw direction vectors in unit cells for the following cubic directions: a) [1 -2 3] b) [1 0 -3]If k is any positive number, what is the size of the angle between the vectors a = (k, k) andb = (-3, 4)?Show a[1 2 1] direction on a simple cubic unit cell and give the location (in correct notation) for each position where the direction vector pierces the unit cell.
- Problem 2 Identify the Miller indices for the direction shown in (a) and the plane shown in (b). Sketch the direction with Miller indices [33 1] in the unit cell (c). (a) (b) (c) 1/2 1/4 1/2 314Given vector A = <20, -11, 10> and vector B = <3, 3, -11> , what is A dot B?(b) Sphericals x=r sine coso y=r sine sino z=r cose Consider spherical coordinates as defined by their relationships to the Cartesian coordinates: x =r sin 8 cos p X2 =r sin 0 cos X3 =r cos 0 r2 = [xỉ + x3 + x e = tan-(x? + x3)x3 $ = tan-(x2/x1) or
- Let n be a positive odd integer. Determine the greatest number of possible imaginary zeros of f(x)=x^n-1. The greatest number of possible imaginary zeros is___Two vectors and are given by A=5i+6j+7k and B= 3i-8j+2k. If these two vectors are drawn starting at the same point, what is the angle between them?Evaluate the following unit vector multiplications: (?̂ ×?̂)⋅?̂ (?̂ ×?̂)×?̂ (?̂ ×?̂) ×?̂