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(A) According to the triangle law of vector addition,if two vectors are represented by two sides of a triangle in sequence,their sum is represented by

Vedclass · Accepted Answer

$(a) \rightarrow (iv), (b) \rightarrow (i), (c) \rightarrow (iii), (d) \rightarrow (ii)$

Vedclass · Answer

(A) According to the triangle law of vector addition,if two vectors are represented by two sides of a triangle in sequence,their sum is represented by the third side in the reverse order.
$(a)$ $\vec{C} - \vec{A} - \vec{B} = 0 \implies \vec{C} = \vec{A} + \vec{B}$. This corresponds to diagram (iv) where $\vec{A}$ and $\vec{B}$ are in sequence and $\vec{C}$ is the resultant in reverse order.
$(b)$ $\vec{A} - \vec{C} - \vec{B} = 0 \implies \vec{A} = \vec{B} + \vec{C}$. This corresponds to diagram $(i)$ where $\vec{B}$ and $\vec{C}$ are in sequence and $\vec{A}$ is the resultant.
$(c)$ $\vec{B} - \vec{A} - \vec{C} = 0 \implies \vec{B} = \vec{A} + \vec{C}$. This corresponds to diagram (ii) where $\vec{A}$ and $\vec{C}$ are in sequence and $\vec{B}$ is the resultant.
$(d)$ $\vec{A} + \vec{B} = -\vec{C} \implies \vec{A} + \vec{B} + \vec{C} = 0$. This corresponds to diagram (iii) where all vectors are in a cyclic order.
Thus,the correct matching is $(a) \rightarrow (iv), (b) \rightarrow (i), (c) \rightarrow (iii), (d) \rightarrow (ii)$.

Match List-$I$ with List-$II$.

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