Vector algebra is basically as a type of algebra where the elements are in vector form and their alg

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Vector algebra is basically as a type of algebra where the elements are in vector form and their algebraic operations follow the vector laws. The process of splitting a single vector into two or more vectors in different directions which altogether produces the same effect as is produced by the single vector is known as resolution of vectors. When a vector is resolved along two mutually perpendicular directions, the components so obtained are called rectangular components of the given vector. Two vectors $\vec{A}$ and $\vec{B}$ are such that $\vec{A}+\vec{B}=\vec{C}$ and $|\vec{A}|+|\vec{B}|=|\vec{C}|$. Then the vectors $\vec{A}$ and $\vec{B}$ are

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(a) : $\vec{A}$ and $\vec{B}$ are parallel