VectorHard
Question
Identify the statement (s) which is/are incorrect ?
Options
A.
B.If 
are non coplanar vectors and 
= 0 then 
must be a null vector
are non coplanar vectors and = 0 then must be a null vector C.If 
and 
lie in a plane normal to the plane containing the vectors 
and 
then 
= 0
and lie in a plane normal to the plane containing the vectors and then = 0D.If 
are reciprocal system of vectors then 
= 3
are reciprocal system of vectors then = 3Solution
(A) 
=
. False
(B)
are non-coplanar
⇒ 
= 0
But
0 ⇒ 
= 0. i.e. null vector which is true
(3)
are perpendicular
so
0. False
(D) a′ =
, b′ = 
, c′ = 
is valid only if
are non coplanar, hence false.
=
. False(B)
are non-coplanar⇒ = 0But
0 ⇒ = 0. i.e. null vector which is true(3)
are perpendicularso
0. False(D) a′ =
, b′ = , c′ = is valid only if
are non coplanar, hence false.Create a free account to view solution
View Solution FreeMore Vector Questions
If A, B, C, D are four points in space, and | × + + × | = λ (area of (ᐃABC), then λ is equal t...In a parallelogram PQRS, = + and = − , then its vector area is-...Let and . If the vector lies in the plane of and , then x equals...Given a parallelogram OACB. The lengths of the vectors are a, b & c respectively. The scalar product of the vectors is -...Let = 3ĵ + 4, = î + ĵ and let and be component vectors of b parallel and perpendicular to a. If , the is ...