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Vectors

Cool goIITian

Joined:	23 Jun 2011
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31 May 2012 11:40:20 IST

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Vectors

Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Vectors

A triangle has vertices (1,2,4), (-2,2,1) and (2,4,-3). Prove that the triangle is right angled and find its other angles.

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Tanveesh Inani

Hot goIITian

Joined: 29 May 2012

Posts: 139

31 May 2012 12:07:47 IST

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take points (1,2,4) and (-2,2,1). make a vector P with them.now take points (2,4,-3) and (-2,2,1). make a vector Q with them.using dot product you will get to know that they are perpendicular to each other.You can find its other angles using dot product of other vectors.

batra

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Joined: 1 Sep 2011

Posts: 101

21 Jun 2012 08:31:46 IST

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concert all the coordinates in i,j,k notation and find the magnitude of each coordinate,u will see that the sum of the squares of the two smaller sides is equal to the square of the larger side!!!

batra

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Joined: 1 Sep 2011

Posts: 101

21 Jun 2012 08:33:31 IST

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for finding other angles u can use trigonometry

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