7. Determine the angle between the two vectors. a) A = < 2,3,4> and B = < -1,4,-2 > b) A = -2î+3j + 5k and B = i + 2j - 2k Determine if the two vectors are parallel orthogonal or neither Show

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Q: -Find the value of (a) so that the given two vectors are orthogonal. u=-4i-8j+ak. v = 2 +4 j+5k .

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A: By cross product M×N=M×Nsinθ we will find angle between M and N By dot product M.N= M×Ncosθ

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Solenoidal Vector Field

In Physics and Mathematics vector calculus attached to each point in a subset of space, there is an assignment of a vector in a field called a vector field.