Find the centroid of a triangle having vertices A(1, 2, 3), B(- 1, 0, 0) and C(3, 7, 6)?

  1. (2, - 5, 6)
  2. (- 1, 0, 1)
  3. (2, 3, 4)
  4. (1, 3, 3)

Answer (Detailed Solution Below)

Option 4 : (1, 3, 3)
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Detailed Solution

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Concept:

Centroid of a triangle:

If the three vertices of the triangle are A(x1, y1), B(x2, y2), C(x3, y3) then the centroid of a triangle = 

Calculation:

Given: A(1, 2, 3), B(- 1, 0, 0) and C(3, 7, 6)

As we know that, if A(x1, y1), B(x2, y2), C(x3, y3) are the vertices of a triangle then the centroid of the triangle is given by: 

Let the centroid of the triangle be R.

Hence, the correct option is 4.

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