Assertion: Minimum number of non-equal Vectors in a plane required to give zero resultant is three.
Reason: If `vec(A)+vec(B)+vec(C )= vec(0)`, then they must lie in one plane

A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-I
B. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-I
C. Statement-I is true, Statement-II is false.
D. Statement-I is false and Statement-II is true.

Options

A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-I
B. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-I
C. Statement-I is true, Statement-II is false.
D. Statement-I is false and Statement-II is true.

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that the minimum number of non-equal vectors in a plane required to give a zero resultant is three.
- To have a zero resultant, the vectors must be arranged in such a way that they form a closed polygon. The simplest polygon that can be formed is a triangle, which requires three sides (or vectors).

2. **Analyzing the Reason**:
- The reason states that if \( \vec{A} + \vec{B} + \vec{C} = \vec{0} \), then these vectors must lie in one plane.
- This is true because if the sum of the vectors equals zero, they can be represented as the sides of a triangle, which is a two-dimensional shape and thus lies in a plane.

3. **Evaluating the Truth of the Statements**:
- Both the assertion and the reason are true. The assertion is true because three non-equal vectors can indeed sum to zero, and the reason is true because if the vectors sum to zero, they must lie in the same plane.

4. **Determining the Relationship**:
- However, the reason provided does not serve as a correct explanation for the assertion. The assertion is about the minimum number of vectors required to achieve a zero resultant, while the reason discusses the condition under which the vectors can sum to zero without addressing the minimum requirement.

5. **Conclusion**:
- Since both statements are true, but the reason is not a correct explanation for the assertion, the correct answer is **B**: Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-I.