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, 
and 
in the coordinate system. Show that the triangle is right-angled and calculate its area 
.
, 
, 
and 
are given in space. Show that points A, B, C and D are vertices of a rectangle.
in space.
.
.
, the intersection of the two diagonals, 
and 
.
and 
.
and 
to write the equation of vector 
.
and 
to write the equation of vector 
.
.
and 
and express them in terms of vectors 
and 
in the direction of the vector
.
and the equations 
when calculating.
cm. Draw the following lines such that:
with a length of 5 cm. Write and draw a unit vector 
that has the same direction as the vector 
.
to write the vector 
.
, 
, 
and 
are the vertices of a trapezoid;
.
to write the vector:
and 
.
and 
.
and 
.
and 
.
and the midpoint of the line DB is marked E. In terms of the vectors 
and 
, express the vectors below:
to show that DE measures half the length AB.
is given.
with data
, the point 
is the center of this triangle of the delineated circle. Calculate the scalar product 
.
and 
as a linear combination of vectors
holds.
and 
are perpendicular to each other.
