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Question

If P=(3,4,5),Q=(4,6,3),R=(1,2,4) and S=(1,0,5) are four points then the projection of segment RS on line PQ is

A
83
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B
43
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C
4
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D
0
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Solution

The correct option is B 43
Projection of RS on PQ=RS^PQ
=|l(x2x1)+m(y2y1)+n(z2z1)|
where (l,m,n) are d.c's of PQ
(l,m,n)=(431+4+4,641+4+4,351+4+4)(l,m,n)=(13,23,23) and
RS=2^i2^j+^k
So, projection =234323=43unit

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