Let ABCD be a parallelogram such that ve...

Let ABCD be a parallelogram such that `vec(AB)= vec(q), vec(AD) = vec(P) and angleBAD` be an acute angle. If `vec(r)` is the vector that coincides with the altitude directed from the vertex B to the side AD, then `vec(r)` is given by-

A

`vec(r) = vec(q) - ((vec(p). vec(q))/(vec(p).vec(p))) vec(p)`

B

`vec(r) = -3 vec(q) + (3 (vec(p).vec(q)))/((vec(p).vec(p)))vec(p)`

C

`vec(r) = 3vec(q) - (3 (vec(p).vec(q)))/((vec(p).vec(p)))vec(p)`

D

`vec(r) = - vec(q) + ((vec(p).vec(q))/(vec(p).vec(p)))vec(p)`

Verified by Experts

The correct Answer is:

D

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