Q17 of 73 Page 440

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

O be the origin,
Let



And



Now we find the vectors




……….(1)




………….(2)




……….(3)


Adding equations (1), (2) and (3)




Therefore, ABC form a triangle.


Now, we want to prove that it is a right angled triangle.







Therefore, the triangle satisfies the Pythagoras theorem. Hence, proved the given vectors form a right angled triangle.


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(b)


(c)


(d)

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are two collinear vectors, then which of the following are incorrect:

(a)


(b)


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