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If vec alpha = 3 hat i - hat j and vec ...

If `vec alpha = 3 hat i - hat j` and ` vec beta = 2 hat i + hat j - 3 hat k`, then express, `vec beta` in the form `vec beta = vec beta_(1) + vec beta_(2)`, where `vec beta_(1)` is parallel to `vec alpha` and` vec beta_(2)` is perpendicular to `vec alpha`.

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The correct Answer is:
` = 1/2 hat i + 3/2 hat j - 3 hat k`.
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