Maths · Vectors and scalars, the addition of vectors
Let be a triangle and let be its circumcentre and be its orthocentre. The
Let \( \mathrm{ABC} \) be a triangle and let \( \mathrm{S} \) be its circumcentre and \( \mathrm{O} \) be its orthocentre. The \( \overline{\mathbf{S A}}+\overline{\mathbf{S B}}+\overline{\mathbf{S C}}= \)
- A. 450
- B. 3ज्ठ
- C. 2 So
- D. So
Step-by-step solution
Taking the circumcenter S as the origin, let the position vectors of A, B, C be a, b, c. For any triangle, the orthocenter O (denoted here as O) has position vector a+b+c relative to the circumcenter. Thus, the vector sum SA + SB + SC = a + b + c = SO.
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