DP Mathematics SL Questionbank
Algebraic and geometric approaches to magnitude of a vector, \(\left| v \right|\) .
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- 12N.1.sl.TZ0.9a: Show that...
- 12N.1.sl.TZ0.9b: Let C and D be points such that ABCD is a rectangle. Given that...
- 12N.1.sl.TZ0.9c: Let C and D be points such that ABCD is a rectangle. Find the coordinates of point C.
- 12N.1.sl.TZ0.9d: Let C and D be points such that ABCD is a rectangle. Find the area of rectangle ABCD.
- 10M.1.sl.TZ1.10b: A third line \({L_3}\) is perpendicular to \({L_1}\) and is represented by...
- 10M.1.sl.TZ1.10a: Write down a vector equation for \({L_2}\) in the form...
- 10M.1.sl.TZ1.10c: The lines \({L_1}\) and \({L_3}\) intersect at the point A. Find the coordinates of A.
- 10M.1.sl.TZ1.10d(i) and (ii): The lines \({L_2}\)and \({L_3}\)intersect at point C where...
- 10M.2.sl.TZ2.9a(i) and (ii): (i) Write down the coordinates of A. (ii) Find the speed of the airplane in...
- 10M.2.sl.TZ2.9b(i) and (ii): After seven seconds the airplane passes through a point B. (i) Find the coordinates of...
- 10M.2.sl.TZ2.9c: Airplane 2 passes through a point C. Its position q seconds after it passes through C is given by...
- 11M.1.sl.TZ1.2a: Write down a vector equation for L in the form...
- 11M.1.sl.TZ1.2b(i) and (ii): Find (i) \(\overrightarrow {{\rm{OP}}} \) ; (ii) \(|\overrightarrow {{\rm{OP}}} |\) .
- 11M.1.sl.TZ1.9a(i) and (ii): (i) Write down \(\overrightarrow {{\rm{BA}}} \) . (ii) Find...
- 11M.1.sl.TZ1.9b(i) and (ii): (i) Find \(\cos {\rm{A}}\widehat {\rm{B}}{\rm{C}}\) . (ii) Hence, find...
- 09N.1.sl.TZ0.2b: Let \({\boldsymbol{v}} = \left( {\begin{array}{*{20}{c}} 1 \\ q \\ 5 \end{array}} \right)\)...
- 13M.1.sl.TZ1.1a: Find (i) \(2\boldsymbol{a} + \boldsymbol{b}\) ; (ii) ...
- 13M.1.sl.TZ1.1b: Find \(\boldsymbol{c}\) .
- 15M.1.sl.TZ1.8a: (i) Show that...
- 15M.2.sl.TZ2.2a: Find (i) \(u \bullet v\); (ii) \(\left| {{u}} \right|\); (iii) ...
- 15M.1.sl.TZ1.8e: Hence or otherwise, find the area of triangle \(OAB\).
- 15N.1.sl.TZ0.9c: A point \(D\) lies on line \({L_2}\) so that...
- 18M.2.sl.TZ2.8d: Hence or otherwise find the shortest distance from R to the line through P and Q.
- 18M.2.sl.TZ2.8c: Find the area of triangle PQR.
- 18M.2.sl.TZ2.8b: Find the angle between PQ and PR.
- 18M.2.sl.TZ2.8a.ii: Find \(\left| {\mathop {{\text{PQ}}}\limits^ \to } \right|\).
- 18M.2.sl.TZ2.8a.i: Find \(\mathop {{\text{PQ}}}\limits^ \to \).
- 18M.1.sl.TZ1.9d: Point D is also on L and has coordinates (8, 4, −9). Find the area of triangle OCD.
- 18M.1.sl.TZ1.9c.ii: Write down the value of angle OBA.
- 18M.1.sl.TZ1.9c.i: Find \(\mathop {{\text{OB}}}\limits^ \to \, \bullet \mathop {{\text{AB}}}\limits^ \to \).
- 18M.1.sl.TZ1.9b.ii: Point C (k , 12 , −k) is on L. Show that k = 14.
- 18M.1.sl.TZ1.9b.i: Find a vector equation for L.
- 18M.1.sl.TZ1.9a: Show...
- 18M.1.sl.TZ1.6: Six equilateral triangles, each with side length 3 cm, are arranged to form a hexagon.This is...
