How to use vector to judge the shape of triangle?

How to use vector to judge the shape of triangle?

For example, the three vectors a, B, C a · B = B · C = C · a corresponding to the three sides of a triangle can be judged by four methods. 1. (according to the symmetry) condition B = B? C = C? A, where a, B, C are symmetric, it can be judged as an equilateral triangle. 2. Because a + B = C, a? (a + B = B? (a + b)), so a ^ 2 = B ^ 2

How to judge the shape of triangle according to vector?

If the scalar product of a vector is less than 0, it is an obtuse angle; if it is equal to or equal to 0, it is an acute angle

How to judge the shape of triangle by vector

Generally speaking, in a triangle, if we can know the vector of three sides, then we can find the size of the three angles through the definition of the product of vector quantity, and then we can determine the shape of the triangle!