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If a, b, c are different real numbers an...

If `a, b, c` are different real numbers and `a hati+bhatj+chatk:bhati+chatj+a hatk & chati+a hatj+bhatk` are of three non-collinear points `A, B & C` then-

A

centroid of triangle ABC is `(a+b+c)/(3) (hat(i) + hat(j) + hat(k))`

B

`hat(i) + hat(j) + hat(k)` is equally inclined to the three vectors

C

perpendicular from the origin to the plane of triangle ABC meet at centroid

D

triangle ABC is an equilateral triangle.

Text Solution

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The correct Answer is:
A, B, C, D
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