Let ABCD be a parallelogram such that \overrightarrow{AB} = q^{\to}, \overrightarrow{AD} = p^{\to} and ∠BAD be an acute angle. If r^{\to} is the vector that coincides with the altitude directed from the vertex B to the side AD , then r^{\to} is given by

Correct Answer is : →r=−→q+(→p⋅→q)(→p⋅→p)→p

\overrightarrow{ r }=3 \overrightarrow{ q }- \overrightarrow{3({ p } \cdot \overrightarrow{ q })}/\overrightarrow{({ p } \cdot \overrightarrow{ p })} \overrightarrow{ p }

\overrightarrow{ r }=-\overrightarrow{ q }+ \overrightarrow{({ p } \cdot \overrightarrow{ q })}/\overrightarrow{({ p } \cdot \overrightarrow{ p })} \overrightarrow{ p }

\overrightarrow{ r }=\overrightarrow{ q }- \overrightarrow{({ p } \cdot \overrightarrow{ q })}/\overrightarrow{({ p } \cdot \overrightarrow{ p })} \overrightarrow{ p }

\overrightarrow{ r }=-3 \overrightarrow{ q }- \overrightarrow{3({ p } \cdot \overrightarrow{ q })}/\overrightarrow{({ p } \cdot \overrightarrow{ p })} \overrightarrow{ p }

JEE Mains 2020 Model Paper 1 New Pattern

Question : 16 of 75

Marks: +1, -0

Let ABCD be a parallelogram such that

→

and ∠BAD be an acute angle. If

→

is the vector that coincides with the altitude directed from the vertex B to the side AD , then

→

is given by

→
r
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Validate

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