DP Mathematics HL Questionbank

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Directly related questions

• 16M.1.hl.TZ1.11a: Find the cosine of the angle between the two planes in the form $\sqrt {\frac{p}{q}}$ where...
• 17M.2.hl.TZ2.9g: Find the acute angle between the planes Π$_2$ and Π$_3$.
• 12M.2.hl.TZ1.13a: Show that AB = AC and that ${\rm{B\hat AC}} = 60^\circ$.
• 12M.2.hl.TZ1.13f: A methane molecule consists of a carbon atom with four hydrogen atoms symmetrically placed around...
• 12N.2.hl.TZ0.13e: Let Y be a point on ${L_1}$ and Z be a point on ${L_2}$ such that XY is perpendicular to YZ...
• 11M.1.hl.TZ2.6b: Hence prove that ${\rm{A\hat CB}}$ is a right angle.
• 13M.2.hl.TZ1.11c: Find the acute angle between ${L_1}$ and ${L_2}$.
• 13M.2.hl.TZ1.11e: Let S be a point on ${L_2}$ such that...
• 10M.1.hl.TZ2.12b: Given two vectors p and q, (i)     show that p$\cdot$p = $|$p${|^2}$; (ii)     hence,...
• 13M.1.hl.TZ2.11a: (i)     Find the lengths of the sides of the triangle. (ii)     Find $\cos {\rm{B\hat AC}}$.
• 11N.1.hl.TZ0.12b: The points A, B and C have position vectors ${\boldsymbol{a}}$, ${\boldsymbol{b}}$ and...
• 11N.1.hl.TZ0.12a: For non-zero vectors ${\boldsymbol{a}}$ and ${\boldsymbol{b}}$, show that (i)     if...
• 11M.1.hl.TZ1.4b: Hence prove that angle ${\text{A}}\hat {\rm{B}}{\text{C}}$ is a right angle.
• 14M.1.hl.TZ2.6: PQRS is a rhombus. Given that $\overrightarrow {{\text{PQ}}}  =$ $\boldsymbol{a}$ and...
• 13N.2.hl.TZ0.7a: show that $3{\sin ^2}\theta  - 7\sin \theta  + 2 = 0$;