If $\bar{\alpha}=3\bar{i}-\bar{j}\;and\;\bar{\beta}=2\bar{i}+\bar{j}-\bar{k}.$ Express $\bar{\beta}$ as a sum of two vectors $\bar{\beta_1}\;and\;\bar{\beta_2},\;where \; \bar{\beta_1}$ is parallel to $\bar{\alpha}\;and\; \bar{\beta_2}$ is prependicular to $\bar{\alpha}$

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