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Question

Find the direction cosines of the line passing through the points
P (2, 3, 5) and Q (–1, 2, 4).

A
(-2,-1,-1)
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B
(311,111,111)
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C
(311,111,111)
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D
(311,111,111)
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Solution

The correct option is C (311,111,111)
The direction cosines of a line passing through the points P (x1,y1,z1) and
Q (x2,y2,z2) are
x2x1PQ, y2y1PQ, z2z1PQ orx1x2PQ, y1y2PQ, z1z2PQHere PQ=(x1x2)2+(y1y2)2+(z1z2)2=(12)2+(23)2+(45)2=9+1+1=11
Hence D.C.'s are
(311,111,111) or (311,111,111)

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