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The projections of a vector on the three...

The projections of a vector on the three coordinate axis are 6, `3` , 2 respectively. The direction cosines of the vector are (1) `6,-3,2` (2) `6/5,(-3)/5,2/5` (3) `6/7,(-3)/7,2/7` (4) `(-6)/7,(-3)/7,2/7`

A

`6//7,-3//7,2//7`

B

`-6//7,-3//7,2//7`

C

`6,-3,2`

D

`6//5,-3//5,2//5`

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A
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The direction cosines of a normal to the plane 2x-3y-6z+14=0 are (A) (2/7,(-3)/7,(-6)/7) (B) ((-2)/7,3/7,6/7) (C) ((-2)/7,(-3)/3,(-6)/7) (D) none of these

Find the angle between the two lines whose direction cosines are: (2)/(3),(-1)/(3),(-2)/(3) and (3)/(7),(2)/(7),(6)/(7) .

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Find the area of the pentagon whose vertices are (4, 3), (-5, 6), (0, -7), (3, -6), (-7, -2)

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Find the the projection of the line segment joining the points : (I) (2,-3,0) (0,4,5) on the line with direction cosines lt (2)/(7) , (3)/(7), (-6)/(7) gt (ii) (1,2,3), (4,3,1) on the line with direction-ratios lt 3, -6, 2 gt .

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