<prompt> Fumana angle pakeng tsa li-vector tse peli a,1 le 2,3.a 2  <response>: Instruction in English: Find the angle between the two vectors a,1 and 2,3. . Response in English: 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. . Response in Sesotho: le ho fumana angle pakeng tsa li-vector tse peli, re ka sebelisa foromo ea sehlahisoa sa letheba: u v u v cosθ, moo θ e leng angle pakeng tsa li-vector tse peli. A re qaleng ka ho fumana boholo kapa bolelele ba vector ka ngoe. u a, 1 a2 12 a2 1 v 2,3 22 32 13 E latelang, a re fumaneng sehlahisoa sa matheba sa li-vector tse peli. u v a, 1 2, 3 a2 13 2a 3 Joale re ka fetola boleng ka foromo ea sehlahisoa sa letheba: u v u v cosθ, cosθ u v u v 2a 3a2 1 13 Ho nkela sebaka se fanoeng boleng ba 2 ho foromo, cosθ 2 2 3 22 1 13 7 13 5 7 65 Ka hona θ arccos 7 65 0.51 radians kapa 29.21 . 