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Find the coordinates of the centriod of ...

Find the coordinates of the centriod of the triangle whose vertices are `( a_(1), b_(1), c_(1)) , (a_(2), b_(2), c_(2))` and `(a_(3), b_(3), c_(3))`.

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The correct Answer is:
`((a_(1)+a_(2)+a_(3))/(3),(b_(1)+b_(2)+b_(3))/(3),(c_(1)+c_(2)+c_(3))/(3))`
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Let veca=a_(1)hati+a_(2)hatj+a_(3)hatk,vecb=b_(1)hati+b_(2)hatj+b_(3)hatk and vecc=c_(1)hati+c_(2)hatj+c_(3)hatk be three non-zero vectors such that vecc is a unit vector perpendicular to both veca and vecb . If the angle between veca and vecb is pi//6 then the value of |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|"is"

Let veca=a_(1)hati+a_(2)hatj+a_(3)hatk,vecb=b_(1)hati+b_(2)hatj+b_(3)hatk and vecc=c_(1)hati+c_(2)hatj+c_(3)hatk be three non-zero vectors such that vecc is a unit vector perpendicular to both veca and vecb . If the angle between veca and vecb is pi//6 then the value of |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|"is"

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CHHAYA PUBLICATION-INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY -Short Answer Type Questions
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