Write down a unit vector in XY-plane, making an angle of 30° with the positive direction of x-axis.

Explanation

To find a unit vector in the XY-plane that makes an angle of 30° with the positive direction of the x-axis, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Unit Vectors**: A unit vector is a vector that has a magnitude of 1. In the XY-plane, any vector can be expressed in terms of its components along the x-axis and y-axis.

2. **Components of the Vector**: If a vector makes an angle θ with the positive x-axis, its components can be expressed as:
- \( \text{Component along x-axis} = \cos(\theta) \)
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