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Q.

Id P is point lying on the passing through the point A( i-j+3 k) and parallel to the vector 2 i+j-2k such that |AP| = 18 then a position vector of P is

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a

-13i-5j+9k

b

11i+7j-15k

c

13i+5j-9k

d

13i-5j+9k

answer is D.

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Detailed Solution

AP=t(2i+j-2k) AP=t4+1+4  15=t(3)  t=±6 OP=i-j+3k±6(2i+j-2k)

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Id P is point lying on the passing through the point A( i-j+3 k) and parallel to the vector 2 i+j-2k such that |AP| = 18 then a position vector of P is