DP Mathematics SL Questionbank
The angle between two vectors.
Description
[N/A]Directly related questions
- 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...
- 17N.2.sl.TZ0.3b: Let ...
- 17N.2.sl.TZ0.3a: Find \(\left| {\overrightarrow {{\text{AB}}} } \right|\).
- 16M.2.sl.TZ1.10d: (i) Show that...
- 16M.2.sl.TZ1.10c: Find \(\theta \).
- 16M.2.sl.TZ1.10b: Show that...
- 16M.2.sl.TZ1.10a: Find \(\overrightarrow {{\text{AB}}} \).
- 08N.2.sl.TZ0.8c(i) and (ii): (i) Find \(\overrightarrow {{\rm{AB}}} \bullet \overrightarrow {{\rm{AD}}} \). (ii) Hence...
- 08M.2.sl.TZ1.9a(i) and (ii): (i) Show that...
- 08M.1.sl.TZ2.8d: Find \(\cos {\rm{A}}\widehat {\rm{B}}{\rm{C}}\) .
- 09N.2.sl.TZ0.10e: Let \(\theta \) be the obtuse angle between \({L_1}\) and \({L_2}\) . Calculate the size of...
- 09M.1.sl.TZ1.9b: Show that \(\cos {\rm{R}}\widehat {\rm{P}}{\rm{Q}} = \frac{1}{2}\) .
- 09M.1.sl.TZ2.2: Find the cosine of the angle between the two vectors...
- 10N.2.sl.TZ0.4: Let \({\boldsymbol{v}} = \left( {\begin{array}{*{20}{c}}2\\{ - 3}\\6\end{array}} \right)\) and ...
- 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...
- 11M.1.sl.TZ1.9c(i) and (ii): The point D is such that...
- 13M.2.sl.TZ2.8b: Find the value of \(a\) for which \({\rm{q}} = \frac{\pi }{2}\) .
- 13M.2.sl.TZ2.8c: i. Show that \(\cos q = \frac{{2a + 14}}{{\sqrt {14{a^2} + 280} }}\) . ii. Hence, find the value...
- 15M.1.sl.TZ1.8d: (i) Find \(\overrightarrow {{\text{OC}}} \bullet \overrightarrow {{\text{AB}}} \). (ii) ...
- 15M.2.sl.TZ2.2b: Find the angle between \({{u}}\) and \({{v}}\).
- 14N.1.sl.TZ0.7: The following diagram shows triangle \(ABC\). Let...
- 15N.1.sl.TZ0.9c: A point \(D\) lies on line \({L_2}\) so that...
