Question:medium
The angle between two diagonals of a cube will be:
The angle between two diagonals of a cube will be:
Show Hint
For 3D geometry problems, use vector dot product and magnitude to calculate angles accurat
Updated On: Nov 28, 2025
- \( \cos^{-1}\left(\frac{1}{3}\right) \)
- \( \sin^{-1}\left(\frac{1}{3}\right) \)
- \( \frac{\pi}{2} - \cos^{-1}\left(\frac{1}{3}\right) \)
- \( \frac{\pi}{2} - \sin^{-1}\left(\frac{1}{3}\right) \)
Top Questions on Vectors
- Let \( \vec{a}, \vec{b}, \vec{c} \) be vectors of equal magnitude such that the angle between \( \vec{a} \) and \( \vec{b} \) is \( \alpha \), the angle between \( \vec{b} \) and \( \vec{c} \) is \( \beta \), and the angle between \( \vec{c} \) and \( \vec{a} \) is \( \gamma \). Then the minimum value of \( \cos \alpha + \cos \beta + \cos \gamma \) is:
- WBJEE - 2025
- Mathematics
- Vectors
- If \( \theta \) is the angle between two vectors \( \vec{a} \) and \( \vec{b} \) such that \( |\vec{a}| = 7 \), \( |\vec{b}| = 1 \) and \( |\vec{a} \times \vec{b}|^2 = k^2 - (\vec{a} \cdot \vec{b})^2 \), then the values of \( k \) and \( \theta \) are:
- WBJEE - 2025
- Mathematics
- Vectors
- If the volume of the tetrahedron, whose vertices are \( A(1, 2, 3), B(-3, -1, 1), C(2, 1, 3) \) and \( D(-1, 2, x) \), is \( \frac{11}{6} \) cubic units, then the value of \( x \) is:
- MHT CET - 2025
- Physics
- Vectors
- If the angle between the line \( 2(x + 1) = y = z \) and the plane \( 2x - y + \sqrt{2} z + 4 = 0 \) is \( \frac{\pi}{6} \), then the value of \( \lambda \) is:
- MHT CET - 2025
- Physics
- Vectors
- Want to practice more? Try solving extra ecology questions todayView All Questions