\(30°\)
\(45°\)
\(60°\)
\(90°\)
The correct answer is (B): \(45\degree\)
The resultant of two vectors of magnitudes \(2A\) and \(\sqrt2 A\) acting at an angle \(θ\) is \(\sqrt10 A\). The correct value of \(θ\)
Let $\vec a = 2\hat i + \hat j - 2\hat k$, $\vec b = \hat i + \hat j$ and $\vec c = \vec a \times \vec b$. Let $\vec d$ be a vector such that $|\vec d - \vec a| = \sqrt{11}$, $|\vec c \times \vec d| = 3$ and the angle between $\vec c$ and $\vec d$ is $\frac{\pi}{4}$. Then $\vec a \cdot \vec d$ is equal to