given a matrix with more than one row , compare row vectors of the given matrix and find the pair with the minumum angle between them , "without using the dot fucntion"
you can find the angle from the following formula
θ = cos-1 [ (a. b) / (|a| |b|) ]
the product between the two vectors is the dot product
a⋅b=∑(ai​)*(bi) from i=1 to n​
the length of a vector is the square root of the sum of the squares of the components
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Tim George Berken minnolina Dyuman Joshi

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