Find the direction cosines of the fol...

Find the direction cosines of the following vectors: `2 hat i+2 hat j- hat k` `6 hat i-2 hat j-3 hat k` `3 hat i-4 hat k`

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Find the direction cosines of the vector hat i+2 hat j+3 hat k .

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Show that the points whose position vectors are as given below are collinear: 2 hat i+ hat j- hat k ,\ 3 hat i-2 hat j+ hat k\ a n d\ hat i+4 hat j-3 hat k 3 hat i-2 hat j+4 hat k ,\ hat i+ hat j+ hat k\ a n d-\ hat i+4 hat j-2 hat k

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