(a) Calculate the mumber of octahedral sites that uniquely belong to one FCC unit cell? The <101> family of directions includes what individual directions (i) in a cubic crystal () in a tetragonal crystal.

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A: Given, Position vectors and location of points A→-3,0,0ftB→0,0,0ftC→6,4,-3ftD→0,12,0ft

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A: We can use the triple cross-product formula: A×B×C=B(A·C)-C(A·B) to prove (∇×B)×B=(B·∇)B-12∇B2  and…

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Q: Q1 B: Consider these two vectors A-2i+3j+5k and B-5i+3j+10k, find the following D-AXB a-D=11i+2j-15k…

A: given-          A = 2i +3j +5k          B = 5i + 3j +10k

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Q: Ā = 2i – 5j + k B = 3i + 4k C = 2i – j+ 2k Find: a) The magnitude and direction of R = Ã+ B + C

A: a) R→=A→+B→+C→=(2i^-5j^+k^)+(3i^+4k^)+(2i^-j^+2k^)=2i^-5j^+k^+3i^+4k^+2i^-j^+2k^=7i^-6j^+7k^…

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Q: EX8:find E10 (-1)(n-1) Zn=1 (n+1)2

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Q: Problem 6: Consider the two vectors, A = -4.93 i +-2.99 j and B = -1.2 i + -4.07 j. z ) What is the…

A: Given value--- vector A = - 4.93 i + -2.99 j. Vector B = - 1.2 i + -4.07 j. We have to find---…

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A: Answer is explained below with proper explanation

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A: The vector from point A(x1,y1,z1) to B(x2,y2,z2) is given by AB→=(x2-x1)i^+(y2-y1)j^+(z2-z1)k^

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A: Write the given vectors A and B.

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Q: Express the force as a Cartesian vector.

A: Given Express the force as a Cartesian vector as following below,

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A: Given: A set of vectors A→, B→ and C→ Magnitude of A→ is A→=3.25 km along north direction. Magnitude…

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Q: Given the forces, 60, 13, and 92, compute for the resultant force. у-аxis 3 х-ахis 20° 15 B

A: We will resolve the forces according to its components and then the final force will be where all…

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A: Given components of vector A→ Ax= +7.6 AY= -6.4

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Q: Given the vector: A = (-5.8t2)î + (4.5t*)ĵ + (-5.9t)k Find the magnitude of: for t = 2. dt2

A: Answer: Given vector A=(-5.8t2)i + (4.5t3)j + (-5.9t)k  We have to find the magnitude of d2A/dt2 at…

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Q: (a) Replace the force system shown by an equivalent force-couple system with the force acting at…

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A: Here we will find the correct option and the reason behind it

Q: Given the vector: Ã = (5.6t²)î + (-7.1t)j+ (8.7t)k Find the magnitude of: d²A for t = 2. dt

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