若向量 $\boldsymbol{a}$ 与 $\boldsymbol{b}$ 不共线则 ( ).
A. $\boldsymbol{a}$ 与 $\boldsymbol{b}$ 均为非零向量
B. $\boldsymbol{a}$ 与 $\boldsymbol{b}$ 均为零向量
C. $\boldsymbol{a}$ 为零向量, $\boldsymbol{b}$ 为非零向量
D. $\boldsymbol{a}$ 为非零向量, $\boldsymbol{b}$ 为零向量 

若向量 $\boldsymbol{a}$ 与 $\boldsymbol{b}$ 不共线，这意味着它们不在同一条直线上。因此，我们可以推断出以下结论：

- 如果向量 $\boldsymbol{a}$ 与 $\boldsymbol{b}$ 不共线，那么它们必须都是非零向量。如果其中任何一个向量是零向量，那么它们将是共线的，因为零向量可以看作在任何向量方向上的伸缩。

因此，正确的选项是：

A. $\boldsymbol{a}$ 与 $\boldsymbol{b}$ 均为非零向量

Would you like more details or have any questions about this solution? Here are five more questions you might be interested in:

1. How do you determine if two vectors are parallel?
2. What is the geometric interpretation of vector addition?
3. How do you find the dot product of two vectors?
4. What is the cross product of two vectors and how is it used?
5. How do you determine the angle between two vectors?

**Tip:** Understanding the properties of vectors, such as their direction and magnitude, is crucial in solving problems related to vector operations and their geometric interpretations.

Explore the concept of non-collinear vectors and their significance in mathematics. This problem involves determining conditions under which vectors are not collinear, crucial for understanding vector algebra and linear independence. Suitable for students in Grades 11-12.

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