Calculus B – Midterm test subjects
- Lines/ planes/ distances/ vectors in ℝ2 or ℝ3
Vectors:
o Angle between vectors
o Calculatng the orthogonal vector perpendicular vector
When the cross product of the vectors = 0
Planes:
o The distance between a plane V and a point P
Draw up the line k using the normal of V (the coefcientsts .se the following formula
for the distance:
To do so, use the coefcients of line k for a, b, c, and d; use the coordinates of P for
x, y and zs
- Triangle area or problems involving triangles
o Area
All sides can be used to calculate the area, and it works for all kind of triangless To be
able to calculate this, the cross-product formula should be useds
o Sine/ cosine rule
, - Limits (with or without parameters)
- Zeros of polynomials (involving trigonometric functons)
o Long division
- Inequalites with polynomials (fractons / trigonometric functons)
- Curves (e.g. fnd center and radius of circle)
- Lines/ planes/ distances/ vectors in ℝ2 or ℝ3
Vectors:
o Angle between vectors
o Calculatng the orthogonal vector perpendicular vector
When the cross product of the vectors = 0
Planes:
o The distance between a plane V and a point P
Draw up the line k using the normal of V (the coefcientsts .se the following formula
for the distance:
To do so, use the coefcients of line k for a, b, c, and d; use the coordinates of P for
x, y and zs
- Triangle area or problems involving triangles
o Area
All sides can be used to calculate the area, and it works for all kind of triangless To be
able to calculate this, the cross-product formula should be useds
o Sine/ cosine rule
, - Limits (with or without parameters)
- Zeros of polynomials (involving trigonometric functons)
o Long division
- Inequalites with polynomials (fractons / trigonometric functons)
- Curves (e.g. fnd center and radius of circle)
