<prompt> Kupata pembe kati ya vectors mbili a,1 na 2,3.a 2  <response>: In order to find the angle between two vectors, we can use the dot product formula: u v u v cosθ, where θ is the angle between the two vectors.Lets first find the magnitude or length of each vector.u a, 1 a2 12 a2 1v 2,3 22 32 13Next, lets find the dot product of two vectors.u v a, 1 2, 3 a2 13 2a 3Now we can substitute the values into dot product formula:u v u v cosθ,cosθ u v u v 2a 3a2 1 13Substituting the given value of a 2 into the formula,cosθ 2 2 3 22 1 13 7 13 5 7 65Therefore θ arccos 7 65 0.51 radians or 29.21. 