DP Mathematics HL Questionbank

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Directly related questions

• 18M.1.hl.TZ2.9e: Find the Cartesian equation of $\Pi$.
• 18M.1.hl.TZ1.10c: Find the Cartesian equation of ${\Pi _3}$.
• 18M.1.hl.TZ1.10a: Find the Cartesian equation of the plane ${\Pi _1}$, passing through the points A , B and D.
• 16N.1.hl.TZ0.4b: Hence find the Cartesian equation of the plane containing the vectors a and b, and passing...
• 17M.2.hl.TZ2.9f: Find a vector perpendicular to the plane Π$_3$.
• 17M.2.hl.TZ2.9e: Verify that 2j + k is perpendicular to the plane Π$_2$.
• 17M.2.hl.TZ2.9d: Show that the line (BC) lies in the plane Π$_1$.
• 17M.2.hl.TZ2.9c: Find the Cartesian equation of the plane Π$_1$, which passes through C and is perpendicular to...
• 17M.2.hl.TZ1.7: Find the Cartesian equation of plane Π containing the points...
• 12M.2.hl.TZ1.4: The planes $2x + 3y - z = 5$ and $x - y + 2z = k$ intersect in the line...
• 12M.2.hl.TZ1.13b: Find the Cartesian equation of $\Pi$, the plane passing through A, B, and C.
• 12M.2.hl.TZ1.13c(i)(ii):  (i)     Find the Cartesian equation of ${\Pi _1}$ , the plane perpendicular to (AB)...
• 12M.2.hl.TZ2.11c: The plane $\div$ is parallel to both the line in part (b) and the line...
• 12N.2.hl.TZ0.13d: Determine a Cartesian equation of the plane ${\pi _3}$ containing both lines ${L_1}$ and...
• 08M.1.hl.TZ2.11: Consider the points A(1, −1, 4), B (2, − 2, 5) and O(0, 0, 0). (a)     Calculate the cosine of...
• 11M.2.hl.TZ2.11d: Find the Cartesian equation of the plane, ${\prod _1}$ , containing the parallelogram PQRS.
• SPNone.2.hl.TZ0.10a: (i)     Find $\overrightarrow {{\text{OA}}}  \times \overrightarrow {{\text{OB}}}$ . (ii)    ...
• 10M.1.hl.TZ1.3: (a)     Show that the two planes $${\pi _1}:x + 2y - z = 1$$ $${\pi _2}:x + z =  - 2$$ are...
• 10M.1.hl.TZ2.12a: Consider the vectors a = 6i + 3j + 2k, b = −3j + 4k. (i)     Find the cosine of the angle...
• 10M.2.hl.TZ1.11: A plane $\pi$ has vector equation r = (−2i + 3j − 2k) + $\lambda$(2i + 3j + 2k) + \(\mu...
• 13M.1.hl.TZ2.11c: Find the Cartesian equation of the plane containing the triangle ABC.
• 11N.2.hl.TZ0.13b: Show that the plane ${\Pi _3}$ which is perpendicular to ${\Pi _1}$ and contains L, has...
• 11M.1.hl.TZ1.11b: Find the Cartesian equation of the plane $\prod$ that contains the face ABC.
• 09N.2.hl.TZ0.2: The vector equation of line $l$ is given as...
• 09N.2.hl.TZ0.11: (a)     Find the coordinates of the point $A$ on ${l_1}$ and the point $B$ on ${l_2}$...
• 14M.1.hl.TZ1.12c: Show that an equation of the plane ${\mathit{\Pi }}$, containing the square OABC, is...
• 14M.1.hl.TZ2.12d: (i)     Find the value of $k$. (ii)     Find the point of intersection P of the line ${L_3}$...
• 13N.1.hl.TZ0.11c: Show that the Cartesian equation of the plane ${\Pi _1}$, containing the triangle ABC, is...
• 14M.1.hl.TZ2.12c: Find the Cartesian equation of the plane ${\Pi _1}$.
• 14N.2.hl.TZ0.5a: Find the Cartesian equation of $\pi$.