DP Mathematics SL Questionbank

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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...