For unit vectors b and c and any non zero vector a, the value of {{(a + b) × (a + c)}×(b × c)}⋅(b + c) is
The vector ((i−j) × (j−k)) × (i + 5k) is equal to
If , and
are linearly dependent vectors and
, then
Let, be three non-zero vectors such that
is a unit vector perpendicular to both
If the angle between
is equal to
Let be non-coplanar unit vectors equally inclined to one another at an acute angle
. Then
in terms of
is equal to
If are two non-zero non-collinear vectors then
is equal to
Let and
is a unit vector such that
, then
equals
If for some non-zero vector
, then the area of the triangle whose vertices are
are non-coplanar)
If are three non-coplanar vectors, then the value of
is :
Let and
be three non-coplanar vectors, and let
and
be the vectors defined by the relations
and
. Then the value of the expression
360 tests
|