Let A ,B ,C be points with position ve...

Let `A ,B ,C` be points with position vectors `2 hat i- hat j+ hat k , hat i+2 hat j+3 hat ka n d3 hat i+ hat j+2 hat k` respectively. Find the shortest distance between point `B` and plane `O A Cdot`

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Show that the points A, B, C with position vectors 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k and 3 hat i-4 hat j-4 hat k respectively, are the vertices of a right angled triangle. Also, find the remaining angles of the triangle.

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