The points ,

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

Problem

The points A(1,2,3)A(1,2,3), B(4,−1,2)B(4,-1,2), C(6,2,6)C(6,2,6) and D(3,5,7)D(3,5,7) are the vertices of a quadrilateral ABCDABCD. Answer the following questions. (i) Show that ABCDABCD is a parallelogram. (ii) Obtain the vectors representing the diagonals ACAC and BDBD. (iii) Find, correct to the nearest degree, the angle between the diagonals ACAC and BDBD.

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