DP Mathematics SL Questionbank
Vectors as displacements in the plane and in three dimensions.
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- 17N.1.sl.TZ0.9c: The point D has coordinates \(({q^2},{\text{ }}0,{\text{ }}q)\). Given that...
- 17N.1.sl.TZ0.9b: Find the value of \(p\).
- 17N.1.sl.TZ0.9a.ii: Find a vector equation for \(L\).
- 17N.1.sl.TZ0.9a.i: Show that...
- 13N.2.sl.TZ0.9c: The point \({\text{Q}}(7, 5, 3)\) lies on \({L_1}\). The point \({\text{R}}\) is the reflection...
- 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...
- 15M.1.sl.TZ1.8a: (i) Show that...
- 15N.1.sl.TZ0.9c: A point \(D\) lies on line \({L_2}\) so that...