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azeeb008... , asked a question
Subject: Math , asked on 16/12/10

using vectors show that the angle in a semicircle is a right angle

EXPERT ANSWER

Sunanta Meitei , Meritnation Expert added an answer, on 20/12/10
2244 helpful votes in Math

Hi!
Here is the answer to your question.
Let O (0, 0) be the centre of a semicircle of radius a.
The coordinated of any point P on the circle can be written as P (a cos q , a sin q ) where q is the angle formed by OP with positive direction of x-axis.
 
This, means that angle between PA and PB is 90°.
 
Cheers!

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