External Evaluation of the European Baccalaureate (Annexes)

3-D space • Linear combination of two
vectors
• Vector equation of a plane
• Scalar product of two vectors
• Magnitude of a vector,
distance between two points
• Orthogonal vectors
• Orthogonal, normalised,
orthonormal basis
• Application of these concepts
to problems in analytical
geometry
Analytical
geometry
of the
point,
plane and
line
Analytical
geometry
of a sphere
Year 7
• Collinear vectors, vector
equation of line
• Coplanar vectors, vector
equation o f plane
• Scalar product of two vectors
in 3-D
• Vector product of two vectors
• Triple scalar product
• Application in the calculation of
areas of common plane
figures: triangle, trapezium and
parallelogram
• In the calculation of volumes of
common solids: prism,
parallelepiped, cylinder,
pyramid
• Parametric and Cartesian
equations of a plane
• Parametric and Cartesian
equation of a line
Year 7
• Relative position of two planes
of a line and a plane, of two
lines
• Orthogonal projection of a
point onto a plane, distance
between a point and a plane
• Distance between two parallel
planes orthogonal projection of
a point on a line
• Distance of a point from a line
Distance between two lines
Angle between two vectors in 3-D
Angle between two lines
Angle between two planes
Angle between a line and a plane
• Cartesian equation of a sphere
• Relative positions of a point
and a sphere, of a plane and a
sphere, of a line and a sphere
• Volume and surface area of
the sphere
54
vectors
• Use unit vectors, position vectors and
displacement vectors
• Calculate the magnitude of a vector
• Calculate the scalar product of two vector
• Understand the significance of symbols
used when the equation of a straight line
expressed in the form r = a +tb
• Determine whether two lines are parallel,
intersect or skew
• Find the angle between two lines ands
the point of intersection if it exists