On the topic of vector: judging the shape of triangle Let AB = C, BC = a, CA = B in the triangle ABC A · B = B · C = C · a (a, B, C are vectors) Try to judge the shape of ABC Please give the proof process

On the topic of vector: judging the shape of triangle Let AB = C, BC = a, CA = B in the triangle ABC A · B = B · C = C · a (a, B, C are vectors) Try to judge the shape of ABC Please give the proof process


In the above, you can see that Ca = B is not AC = B, so it can only be a right angle, not an equilateral