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Let ABCD be a parallelogram such that v...

Let ABCD be a parallelogram such that ` vec A B= vec q , vec A D= vec p""a n d""/_B A D` 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 (1) ` vec r=3 vec q-(3( vec pdot vec q))/(( vec pdot vec p)) vec p` (2) ` vec r=- vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p` (3) ` vec r= vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p` (4) ` vec r=-3 vec q+(3( vec pdot vec q))/(( vec pdot vec p)) vec p`

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Step by step text solution for Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p""a n d""/_B A D 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 (1) vec r=3 vec q-(3( vec pdot vec q))/(( vec pdot vec p)) vec p (2) vec r=- vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p (3) vec r= vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p (4) vec r=-3 vec q+(3( vec pdot vec q))/(( vec pdot vec p)) vec p by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Knowledge Check

  • If vec P xx vec Q= vec R, vec Q xx vec R= vec P and vec R xx vec P = vec Q then

    A
    `vec(P),vec(Q)` and `vec(R)` are coplanar
    B
    angle between `vec(P)` and `vec(Q)` may be less than `90^(@)`
    C
    `vec(P)+vec(Q)+vec(R)` cannot be equal to zero.
    D
    `vec(P),vec(Q)` and `vec(R)` are mutually perpendicular

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