QJEEM12Maa6ac: JEE Main 2012 Physics - Class 11 JEEM12Maa6ac Solution: Let be a parallelogram such that and be an acute angle. If is…

Question

Verified Solution • 2025–26 Session moderate

Let

ABCD

be a parallelogram such that

\overrightarrow {AB} = \overrightarrow q ,\overrightarrow {AD} = \overrightarrow p

and

\angle BAD

be an acute angle. If

\overrightarrow r

is the vector that coincide with the altitude directed from the vertex

B

to the side

AD,

then

\overrightarrow r

is given by :

A $\overrightarrow r = 3\overrightarrow q - {{3\left( {\overrightarrow p .\overrightarrow q } \right)} \over {\left( {\overrightarrow p .\overrightarrow p } \right)}}\overrightarrow p$
B $\overrightarrow r = - \overrightarrow q + {{\left( {\overrightarrow p .\overrightarrow q } \right)} \over {\left( {\overrightarrow p .\overrightarrow p } \right)}}\overrightarrow p$
C $\vec r = \vec q - {{\left( {\vec p.\vec q} \right)} \over {\left( {\vec p.\vec p} \right)}}\vec p$
D $\overrightarrow r = - 3\overrightarrow q - {{3\left( {\overrightarrow p .\overrightarrow q } \right)} \over {\left( {\overrightarrow p .\overrightarrow p } \right)}}$