Question
If a, b, c are the position vectors of the vertices of an equilateral triangle whose orthocenter is at the origin, then
Answer: Option A
:
A
The position vector of the centroid of the triangle is ⃗a+⃗b+⃗c3
Since, the triangle is an equilateral, therefore the orthocenter coincides with the centroid and hence ⃗a+⃗b+⃗c3=⃗0⇒⃗a+⃗b+⃗c=0
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:
A
The position vector of the centroid of the triangle is ⃗a+⃗b+⃗c3
Since, the triangle is an equilateral, therefore the orthocenter coincides with the centroid and hence ⃗a+⃗b+⃗c3=⃗0⇒⃗a+⃗b+⃗c=0
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