Physics · MOTION IN A PLANE

A vector \( \mathbf{A} = 8\hat{i} + 15\hat{j} \) is expressed as a linear combination \( \mathbf{A} = \lambda \mathbf{a} + \mu \mathbf{b} \), where \( \mathbf{a} = 2\hat{i} \) and \( \mathbf{b} = 3\hat{j} \). The values of real constants \( \lambda \) and \( \mu \) are respectively:

1. A
   \( \lambda = 4, \mu = 5 \)
2. B
   \( \lambda = 8, \mu = 15 \)
3. C
   \( \lambda = 5, \mu = 4 \)
4. D
   \( \lambda = 2, \mu = 3 \)