DP Mathematics SL Questionbank
Algebraic and geometric approaches to the sum and difference of two vectors; the zero vector, the vector \( - v\).
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- 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...
- 08N.2.sl.TZ0.8b: Find the coordinates of point C.
- 08M.1.sl.TZ2.8a(i) and (ii): Find (i) \(\overrightarrow {{\rm{AB}}} \) ; (ii) \(\overrightarrow {{\rm{AD}}} \) giving...
- 08M.1.sl.TZ2.8c: The point C is such that...
- 09M.1.sl.TZ1.9a: Find (i) \(\overrightarrow {{\rm{PQ}}} \) ; (ii) \(\overrightarrow {{\rm{PR}}} \) .
- 09M.1.sl.TZ2.10d: The point C is at (2, 1, − 4). Let D be the point such that ABCD is a parallelogram. Find...
- SPNone.1.sl.TZ0.1a: \(\overrightarrow {{\rm{AE}}} \)
- SPNone.1.sl.TZ0.1b: \(\overrightarrow {{\rm{EC}}} \)
- 14M.2.sl.TZ1.4a: Let \(w = u - v\). Represent \(w\) on the diagram above.
- 13M.1.sl.TZ1.1a: Find (i) \(2\boldsymbol{a} + \boldsymbol{b}\) ; (ii) ...
- 13M.1.sl.TZ1.1b: Find \(\boldsymbol{c}\) .