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If A, B, C, D are the points with position vectors \(\hat i + \hat j - \hat k, 2 \hat i - \hat j + 3 \hat k, 2 \hat i - 3 \hat k, 3 \hat i - 2 \hat j + \hat k.\) respectively, find the projection of \(\vec {AB} \,\,along\,\, \vec {CD}\)

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Given are points, A, B, C and D.

Let O be the origin.

We have,

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