Two vectors A and B in two dimensions are given by A = 2i + 3j and B = - i + 4 Find the magnitudes of A and B, the scalar (or dot) product of A and B and the angle between A and B. (Hint: For the last part, the scalar product of two vectors can be expressed in terms of components and also in terms of the angle between the vectors. i and j are unit vectors along x- and y- directions.) a.) |A| = 6, |B| = 4.1, A.B = 10, θ = 47.40.

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