Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

Let ABC be a triangle having its centroid at G. If S is any point in the plane of the triangle, then $\vec{SA} + \vec{SB} + \vec{SC} =$

Options:

$\vec{SG}$

$2\vec{SG}$

$3\vec{SG}$

$\vec{0}$

Correct Answer:

$3\vec{SG}$

Explanation:

We have,

$\vec{SA} + \vec{SB} + \vec{SC} =\vec{SA} +(\vec{SB} + \vec{SC})$

$⇒\vec{SA} + \vec{SB} + \vec{SC} =\vec{SA} +2\vec{SD}=(1+2)\vec{SG}=3\vec{SG}$