DP Mathematics HL Questionbank

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Directly related questions

• 18M.1.hl.TZ2.1: The acute angle between the vectors 3i − 4j − 5k and 5i − 4j + 3k is denoted by θ. Find cos θ.
• 16M.1.hl.TZ1.11a: Find the cosine of the angle between the two planes in the form \(\sqrt {\frac{p}{q}} \) where...
• 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...
• 08N.2.hl.TZ0.4: The angle between the vector a = i − 2j + 3k and the vector b = 3i − 2j + mk is 30° . Find the...
• 10M.1.hl.TZ2.12a: Consider the vectors a = 6i + 3j + 2k, b = −3j + 4k. (i)     Find the cosine of the angle...
• 13M.1.hl.TZ2.11a: (i)     Find the lengths of the sides of the triangle. (ii)     Find \(\cos {\rm{B\hat AC}}\).
• 10N.2.hl.TZ0.9: Consider the vectors a \( = \sin (2\alpha )\)i \( - \cos (2\alpha )\)j + k and b...
• 09M.2.hl.TZ2.2: Given that...
• 14M.1.hl.TZ1.12g: (i)     Find the angle \({\rm{O\hat DA}}\). (ii)     State what this tells you about the solid...