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Vectors

Cool goIITian

 Joined: 23 Jun 2011 Post: 65
31 May 2012 11:40:20 IST
1 People liked this
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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.

Hot goIITian

Joined: 29 May 2012
Posts: 139
31 May 2012 12:07:47 IST
1 people liked this

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.

Hot goIITian

Joined: 1 Sep 2011
Posts: 101
21 Jun 2012 08:31:46 IST
0 people liked this

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!!!

Hot goIITian

Joined: 1 Sep 2011
Posts: 101
21 Jun 2012 08:33:31 IST
0 people liked this

for finding other angles u can use trigonometry

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