Addition of two vectors, `vecA + vecB=vecC` is represented in which of the following options correctly?

Options

A.
B.
C.
D.

Answer

To solve the question regarding the addition of two vectors \( \vec{A} + \vec{B} = \vec{C} \) and to determine which option represents this correctly, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Vector Addition**:
- Vector addition can be visualized using the triangle law of vector addition. According to this law, if two vectors are represented as two sides of a triangle, the resultant vector is represented by the third side of the triangle.

2. **Drawing the Vectors**:
- Start by drawing the first vector \( \vec{A} \). This vector can be drawn as an arrow starting from a point \( O \) and pointing to a point \( A \).
- Next, draw the second vector \( \vec{B} \). This vector should start from the head (the endpoint) of the first vector \( \vec{A} \). So, if \( \vec{A} \) ends at point \( A \), then \( \vec{B} \) should start from point \( A \) and point to another point \( B \).

3. **Identifying the Resultant Vector**:
- The resultant vector \( \vec{C} \) is drawn from the tail of the first vector \( \vec{A} \) (which is point \( O \)) to the head of the second vector \( \vec{B} \) (which is point \( B \)). This vector \( \vec{C} \) represents the sum of \( \vec{A} \) and \( \vec{B} \).

4. **Analyzing the Options**:
- Now, we need to look at the provided options and see which one correctly represents this arrangement.
- Check each option to see if \( \vec{A} \) starts at a point, \( \vec{B} \) starts at the head of \( \vec{A} \), and \( \vec{C} \) connects the tail of \( \vec{A} \) to the head of \( \vec{B} \).

5. **Selecting the Correct Option**:
- After analyzing the options, identify the one that matches the arrangement described above. The correct option will show \( \vec{A} \) leading into \( \vec{B} \) and \( \vec{C} \) as the resultant vector.