The vertices of a triangle are

MATHEMATICS · Multi-part · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

The vertices of a triangle are A(1,2,3)A(1,2,3), B(4,−1,2)B(4,-1,2) and C(−2,3,0)C(-2,3,0). (i) Write the vectors representing the two sides that meet at AA. (ii) Compute the angle ∠BAC\angle BAC of the triangle, correct to the nearest degree. (iii) Using your result from part (ii), classify △ABC\triangle ABC as right-angled, acute-angled, or obtuse-angled at AA.

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