Let ABCD be a parallelogram such that AB = q,AD = p and BAD be an acute angle. If r is the vector that coincide with the altitude directed from the vertex B to the side AD, then r is given by:

(B) r = - q + ((p. q))/((p. p)) p

(A) r = 3 q - (3(p. q))/((p. p)) p

(C) r = q - ((p. q))/((p. p)) p

(D) r = - 3 q - (3(p. q))/((p. p))

Vector Algebra: JEE Main 2012 Mathematics question

JEE Main 2012 · Annual, Paper 1 · Q5764

JEE Main 2012Annual, Paper 1MathematicsMediumVector Algebra184× since 2002

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 :