Mathematics - Vector Question with Solution | TestHub

MathematicsVectorGeneral definitions, Angle between vectors, Section formula, Geometrical resultsMedium2 minPYQ_2018

MathematicsMediumsingle choice

In a $∆ A B C,$ $D, E, F$ are the mid-points of the sides $B C$ , $C A$ and $A B$ respectively, the vector $\vec{A D}$ is equal to

Answer:

Solution:

$\vec{A D} = 3 \vec{G D}$

$= 3 \cdot \frac{1}{2} (\vec{G B} + \vec{G C})$

$= \frac{3}{2} (\frac{2}{3} \vec{E B} + \frac{2}{3} \vec{F C})$

$= - \vec{B E} - \vec{C F}$

Hence, option (d) is correct.

Stream:BITSATSubject:MathematicsTopic:VectorSubtopic:General definitions, Angle between vectors, Section formula, Geometrical results

⏱ 2mℹ️ Source: PYQ_2018

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