Question

If \( a = i - j + 2k \) and \( b = 2i - j + k \), then the angle \( \theta \) between \( a \) and \( b \) is given by

• A. \( \tan^{-1}(1) \)
• B. \( \sin^{-1}(1) \)
• C. \( \sec^{-1}(1) \)
• D. \( \tan^{-1}(1) \)

Hint:

To find the angle between two vectors, use the dot product formula \( \cos \theta = \frac{a \cdot b}{|a| |b|} \).

Answer 1

The Correct Option is A

The angle between two vectors is calculated using the formula \( \cos \theta = \frac{a \cdot b}{|a| |b|} \).