1103030705

SubArea:

Level:

Project ID:

1103030705

Accepted:

Clonable:

Easy:

Let there be a triangle KLM and vectors

\vec{a}

\vec{c}

in the coordinate system. Triangle

K L M

and vectors

\vec{a}

\vec{c}

are given in the coordinate system shown in the picture. Point T is the centroid of the triangle KLM. Express vector

\vec{x}

, where

\vec{x} = \vec{K T}

as a linear combination of

\vec{a}

and

\vec{c}

and evaluate

| \vec{x} |

\vec{x} = \frac{1}{3} \vec{a} + \frac{1}{3} \vec{c}

| \vec{x} | = 5

\vec{x} = \frac{2}{3} \vec{a} + \frac{2}{3} \vec{c}

| \vec{x} | = 10

\vec{x} = \frac{1}{2} \vec{a} + \frac{1}{2} \vec{c}

| \vec{x} | = \frac{15}{2}

\vec{x} = \frac{1}{4} \vec{a} + \frac{1}{4} \vec{c}

| \vec{x} | = \frac{225}{12}

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