DP Mathematics HL Questionbank

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Directly related questions

• 18M.1.hl.TZ2.9c: Find the area of the parallelogram ABCD.
• 18M.1.hl.TZ2.9b: Show that p = 1, q = 1 and r = 4.
• 18M.1.hl.TZ2.9a.ii: Using vector algebra, show that...
• 18M.1.hl.TZ2.9a.i: Explain why ABCD is a parallelogram.
• 16M.2.hl.TZ2.9b: Given that...
• 16M.2.hl.TZ2.9a: Show that (i)     ${\left| {\overrightarrow {{\text{OC}}} } \right|^2} = |$a\({|^2} +...
• 16M.1.hl.TZ1.8: O, A, B and C are distinct points such that $\overrightarrow {{\text{OA}}}  =$ a,...
• 17N.1.hl.TZ0.9e: Given that area $\Delta {\text{OAB}} = k({\text{area }}\Delta {\text{CAD}})$, find the value of...
• 17N.1.hl.TZ0.9d: Deduce an expression for $\overrightarrow {{\text{CD}}}$ in terms of a and b only.
• 17N.1.hl.TZ0.9c: Show that $\mu  = \frac{1}{{13}}$, and find the value of $\lambda$.
• 17N.1.hl.TZ0.9b.ii: Find an expression for $\overrightarrow {{\text{OD}}}$ in terms of a, b and $\mu$.
• 17N.1.hl.TZ0.9b.i: Find an expression for $\overrightarrow {{\text{OD}}}$ in terms of a, b and $\lambda$;
• 17N.1.hl.TZ0.9a.ii: Find, in terms of a and b $\overrightarrow {{\text{AF}}}$.
• 17N.1.hl.TZ0.9a.i: Find, in terms of a and b $\overrightarrow {{\text{OF}}}$.
• 11M.1.hl.TZ2.6a: Find an expression for $\overrightarrow {{\text{CB}}}$ and for...
• 10M.1.hl.TZ2.3: The three vectors $\boldsymbol{a}$, $\boldsymbol{b}$ and $\boldsymbol{c}$ are given...
• 10N.1.hl.TZ0.10: Let $\alpha$ be the angle between the unit vectors a and b, where...
• 14M.1.hl.TZ1.12b: Find the coordinates of M, the mid-point of [OB].
• 14M.1.hl.TZ2.6: PQRS is a rhombus. Given that $\overrightarrow {{\text{PQ}}}  =$ $\boldsymbol{a}$ and...
• 14M.1.hl.TZ1.12a: Show that the points ${\text{O}}(0,{\text{ }}0,{\text{ }}0)$,...
• 14N.1.hl.TZ0.3: A point $P$, relative to an origin $O$, has position vector...