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Question

If the coordinates of A and B be 1,2,3 and 7,8,7, then the projections of the line segment AB on the co-ordinate axis are


A

6,6,4

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B

4,6,4

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C

3,3,2

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D

2,3,2

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Solution

The correct option is A

6,6,4


Explanation for the correct option.

Given that, the coordinates of A and B be 1,2,3 and 7,8,7,

Let, x1,y1,z1=1,2,3andx2,y2,z2=7,8,7 then, the direction cosine of the line are:

x2-x1=6,y2-y1=6,z2-z1=4

And the direction cosines of x,y,z axes are:

1,0,0,0,1,0,0,0,1

Therefore the projection on the coordinate axis gives points, 6,6,4.

Hence, option A is correct.


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