Q17 of 73 Page 447

Show that the vectors form the vertices of a right angled triangle.

Let vectors be position vectors of points A, B and C respectively.


Then,


Now vectors represent sides of ΔABC











Now



And


∴


From Pythagoras theorem we know


If then ΔABC is a right-angled triangle


∴ Δ ABC is a right-angled triangle.


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