Questions: Find the sum of the vectors A and B shown in the figure.

Find the sum of the vectors A and B shown in the figure.
Transcript text: Find the sum of the vectors $\mathbf{A}$ and $\mathbf{B}$ shown in the figure.
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Solution

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Solution Steps

Step 1: Understand vector addition

Vector addition is performed by placing the tail of the second vector at the head of the first vector. The resultant vector is then drawn from the tail of the first vector to the head of the second vector.

Step 2: Visualize the addition

Imagine moving vector B so that its tail is at the head of vector A.

Step 3: Determine the resultant vector

The sum of vectors A and B would be a vector starting at the tail of A and ending at the head of B (after B is moved as described in step 2). This corresponds to option B.

Final Answer: B

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