<prompt> Etsa qeto ea angle e entsoeng ka lintlha A, B le C.A -2, 3 B 1, -1 C 4, 0  <response>: Instruction in English: Determine the angle formed by points A, B and C. . Response in English: We can calculate the angle formed by points A, B, and C using the dot product formula. Lets assign points A, B, and C their respective coordinates as point A Ax, Ay, point B Bx, By and point C Cx, Cy.Ax -2, Ay 3Bx 1, By -1Cx 4, Cy 0. First, we need to find the vectors BA and BC, formed by the corresponding points they connect:Vector BA -3, 4Vector BC 3, 1Then we can apply the dot product formula to determine the angle formed by the vectors:BA BC BABCcosθθ acosBA BC BABCThe dot product is calculated as the sum of the product of the corresponding components of the vectors:BA BC -33 41 -5The magnitudes of the vectors are calculated as the square root of the sum of the squares of its components:BA sqrt-32 42 5BC sqrt32 12 sqrt10θ acos-55sqrt10 1.76 radians or approximately 101 degrees.Therefore, the angle formed by points A, B and C is approximately 101 degrees. . Response in Sesotho: Re ka bala angle e entsoeng ka lintlha A, B, le C re sebelisa foromo ea sehlahisoa sa matheba. Ha re faneng ka lintlha A, B, le C lihokahanyo tsa bona tse fapaneng joalo ka ntlha A Ax, Ay, ntlha B Bx, By le ntlha C Cx, Cy. Ax -2, Ay 3 Bx 1, Ka -1 Cx 4, Cy 0. Ntlha ea pele, re hloka ho fumana li-vectors BA le BC, tse entsoeng ke lintlha tse lumellanang tseo li li kopanyang: Vector BA -3 , 4 Vector BC 3, 1 Joale re ka sebelisa foromo ea sehlahisoa sa letheba ho fumana hore na angle e entsoeng ke li-vector: BA BC BABCcosθ θ acosBA BC BABC Sehlahisoa sa matheba se baloa e le kakaretso ea sehlahisoa sa likarolo tse tsamaellanang tsa li-vector: BA BC -3 3 4 1 - 5 Boholo ba li-vectors bo baloa e le motso oa lisekoere oa kakaretso ea lisekoere tsa likarolo tsa eona: BA sqrt-32 42 5 BC sqrt3 2 12 sqrt10 θ acos-55sqrt10 1.76 radians kapa hoo e ka bang likhato tse 101. Ka hona, angle e entsoeng ka lintlha A, B le C e ka ba likhato tse 101. 