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
C.If
and
lie in a plane normal to the plane containing the vectors
and
then
= 0
D.If
are reciprocal system of vectors then
= 3
Solution
(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.
=
(B)
But
(3)
so
(D) a′ =
is valid only if
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