Q16 of 24 Page 1008

If the position vectors of the vertices A, B and C of a ∆ABC be and respectively, prove that ∆ABC is equilateral.














Tip – For any vector the magnitude






The three sides of the triangle are equal in magnitude, so the triangle is equilateral.


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14

Show that the points A, B and C having position vectors and respectively, are collinear.

 15

The position vectors of the points A, B and C are and respectively. Show that the points A, B and C are collinear.

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Show that the points A, B and C having position vectors and respectively, form the vertices of a right-angled triangle.

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Using vector method, show that the points A(1, -1, 0), B(4, -3, 1) and C(2, -4, 5) are the vertices of a right-angled triangle.