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Answer the following.

The direction cosines of the plane are:

• (1)$\left(\frac{2}{3}, \frac{2}{3}, -\frac{1}{3}\right)$
• (2)$\left(\frac{2}{3}, \frac{2}{3}, \frac{1}{3}\right)$
• (3)$\left(-\frac{2}{3}, -\frac{2}{3}, \frac{1}{3}\right)$
• (4)$\left(-\frac{2}{3}, \frac{2}{3}, \frac{1}{3}\right)$

Answer

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From ISC 2025 Improvement Mathematics Paper 1, question 15(ii)(a).

Check your working with the 3D geometry and vectors calculator: points, vectors, lines and planes: distances, angles, foot and image, shortest distance, intersections.