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 \(3{\sin ^2}\theta  - 7\sin \theta  + 2 = 0\);