Questions: Which of the following best represents vec(A) vec(A) + vec(B) = vec(C) ?

Which of the following best represents vec(A) vec(A) + vec(B) = vec(C) ?
Transcript text: Which of the following best represents $\vec{A}$ \[ \vec{A}+\vec{B}=\vec{C} ? \]
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Solution

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Solution Steps

Step 1: Understand Vector Addition

Vector addition follows a head-to-tail rule. This means to add vector A and vector B, the tail of vector B should be placed at the head of vector A. The resultant vector C starts at the tail of vector A and ends at the head of vector B.

Step 2: Analyze the Options

The first option shows vector B's tail placed at the head of vector A correctly. Vector C also correctly connects the tail of A to the head of B.

The second option shows vector B's tail at the head of A correctly. However, Vector C connects the head of A to the tail of B which is incorrect.

The third option shows the vector B starting at the head of C, with C pointing in the incorrect direction, placed from the head of A towards B.

Final Answer

The first option correctly represents the vector addition A + B = C.

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