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The velocity of a particle is \mathbf{v}=6 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-2 \hat{\mathbf{k}}. Thecomponent of the velocity parallel to vector\mathbf{a}=\mathbf{i}+\hat{\mathbf{j}}+\hat{\mathbf{k}} in vector form is\begin{array}{ll}{\text { (a) } 6 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}} & {\text { (b) } 2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}} \\ {(c) \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}} & {\text { (d) } 6 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-2 \hat{\mathbf{k}}}\end{array}

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