DP Mathematics HL Questionbank
Cartesian equation of a plane \(ax + by + cz = d\) .
Description
[N/A]Directly related questions
- 18M.1.hl.TZ2.9e: Find the Cartesian equation of \(\Pi \).
- 16N.1.hl.TZ0.4b: Hence find the Cartesian equation of the plane containing the vectors a and b, and passing...
- 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...
- 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.
- 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 \({L_3}\)...
- 14M.1.hl.TZ2.12c: Find the Cartesian equation of the plane \({\Pi _1}\).
- 14N.2.hl.TZ0.5a: Find the Cartesian equation of \(\pi \).
