A A If the incident ray on a surface is along the unit vector v, the reflected ray is along the unit vector w and A the normal is along the unit vector a outwards, express w in terms of a and v. â ŵ

Q: Eric invest $1050 every year in an annuity that pays six. Six interest compounded annually. Payments…

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Q: answer and R code for: 'h' and 'i'

A: h) Confidence level is 94% i.e., 0.94. Significance level α=1-0.94=0.06

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Q: Find the vector p given the relationship between A and x.

A: Step1: Let's break down the problem step by step.Given Matrices: We are given two matrices: 𝐴 and…

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A: If the vector u=a1,b1 and the vector v=a2,b2 then the resultant vector u+v is; u+v=a1+a2 , b1+b2…

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Q: Exercise If lul=2 , Iwl=3 and the angle of between vis Tys Find Iv-2 Find Iv-2w/ The length of the…

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Q: Find ||v|| and find a unit vector in the direction of v.v = (−1, 1, 2)

A: Now magnitude of v is ,

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A: Given that vectors u and v are unit vectors and angle between vectors u and v is π4.  We know that…

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A: We must know that cross product of any two vectors will result in a vector that has the direction…

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Q: 7.(a) A and Care the points (1,3, –2) and (4,–4,4) respectively. Point B divides AC in the ratio…

A: We find a coordinate in given ratio.

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Q: Find the angle a, in radians, between the vectors a = α 3 -4 and 5 1

A: To find the angle between two vectors v and w, use the formula:cos(α)=∥v∥⋅∥w∥v⋅w​where α is the…

Q: he vector as a

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