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Question:

The  rectangular components of a vector are [2,2] the corresponding rectangular components of another vector are [1, √3]. find the angle between the two vectors.

Answer:

root

The vector (2,2) makes the angle from x-axis-

tan θ =2/2 = 1

θ = tan-1 (1) = 45o

The vector (1, √3) makes angle from x-axis-

tan θ = √3/1

θ = tan-1 (√3) = 60o

So, angle between these two vectors is =60o - 45o = 15o

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