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and the vector 
are given.
with the components (coordinates).
and 
.
are the vertices of the triangle;
.
and 
in surd form.
, 
and 
are the vertices of triangle 
;
per minute.
of the side 
to two decimal places.
) of 
to two decimal places.
so that the quadrilateral 
is a parallelogram.
. Write the vectors 
and 
as a linear combination of the vectors 
and 
. Calculate the exact length of the vector 
.
and 
be vectors in the plane 
.
such that the vectors 
and 
are rectangular.
such that the vectors 
and 
parallel.
and 
and the vector 
;
with the components.
and 
. For which real number 
are the vectors 
and 
rectangular? For which real numbers 
is the length of the vector 
equal to 7?
. In the trapezium is 
, 
and 
. Express the vectors with the vectors 
and 
:
and 
are given, for which 
, 
apply, and the angle between the vectors is equal to 
. Calculate the scalar product of the vectors and the length of the perpendicular projection of the vector 
. Write down the coordinates of the point C if A (-2, 1, 4) and B (-2, 1, 0).
and 
are given, for which 
, 
apply, and the angle between the vectors is equal to 
. Calculate the scalar product of the vectors and the length of the perpendicular projection of the vector 
. Write down the coordinates of the point C if 
and 
.
and 
are given, for which 
, 
apply, and the angle between the vectors is the same as 
.
and 
.
. Calculate the coordinates of the point S.
is 10, the length of the vector 
6, and the length of the vector 
is 18. Calculate the length of the vector 
.
, 
cm and 
.
m, 
m and as 
are given. Calculate the lengths of both diagonals.
