<prompt> Mahesabu ya pembe ya vectors mbili.Vector A 3, 4 Vector B 4, 3  <response>: The angle between two vectors can be calculated using the dot product formula:If vector A x1, y1 and vector B x2, y2 then the dot product of the two vectors is given by A.B x1x2 y1y2. The magnitude of a vector A is given by A sqrtx12 y12The cosine of the angle between the two vectors is given by: cosθ A.B ABIn our case:Vector A 3, 4 Vector B 4, 3A.B 34 43 24A sqrt32 42 5B sqrt42 32 5cosθ A.B AB 24 55 0.96θ arccos0.96 16.26 degreesTherefore, the angle between vector A and vector B is approximately 16.26 degrees. 