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

Asked by azeeb008...(student) , on 16/12/10


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EXPERT ANSWER

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!

Posted by Sunanta Meitei(MeritNation Expert)on 20/12/10

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