82.If the vertices of a triangle are the points with position vectors what are the vectors determined by its sides? Find the length of these vectors.
Let A, B, C be vertices of given triangle with position vectors ,
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83.Show that the vectors and form the sides of right angled triangle.
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Long Answer Type
84.Show that the points A, B and C with position vectors, respectively form the vertices of a right angled triangle, respectively form the vertices of a right angled triangle.
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85.Prove that the points are the vertices of a right angled triangle.
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86.Show that the points with position vectors and are collinear.
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Short Answer Type
87.Show that the points A (2, 6, 3). B (1, 2, 7) and C (3, 10, – 1) are collinear.
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88.The position vectors of the points A, B and C are respectively. Show that A, B and C are collinear.
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89.The position vectors of the points A, B, C and D are respectively. Show that AB and CD are parallel.