The values of for which the vector
makes an obtuse angle with the z-axis and the vectors
and
are mutually orthogonal are
If the and
terms of a G.P. are positive numbers
, and
respectively, then find the angle between the vectors
and
Let . If
is a vector such that
and the angle between
and
is
, then
Let and
. The vector
which satisfies the equations
and
is given by
What is the interior acute angle of the parallelogram whose sides are represented by the vectors and
If three vectors are such that
and
and the angle between
and
is
then
where
is equal to
Let A = (x + 4y) + (2x + y + 1)
and B = (y −2 x + 2)
+(2x − 3y − 1)
where
and
are non-collinear vectors, if 3A = 2B then
What is a vector of unit length orthogonal to both the vectors and
?
360 tests
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