P and Q are points on the straight line passing through the point A(3\ov i+ \ov j-\ov k) and parallel to the vector ( 2\ov i-\ov j+2 \ov k) . IfAP =AQ =3 , then the vector equation of the plane OPQ is

Correct Answer is : r=(s+5t)i+2sj(t−3s)k

\ov r=( s+5 t) \ov i+ 2s\ov j( t-3 s)\ov k

\ov r=(3\ov i +\ov j-\ov k)+ s(2\ov i-\ov j+2 \ov k) + t(5\ov i+ \ov k)

\ov r=( s+5 t)\ov i+2 s\ov j( 5 s+t)\ov k

\ov r=( 3t+s) \ov i+2 s\ov j( i-3 s) \ov k

AP EAMCET Engineering 2018 Apr 22 Shift 2 Paper

Section: Mathematics

Question : 30 of 160

Marks: +1, -0

P and Q are points on the straight line passing through the point A(3i+j−k) and parallel to the vector (2i−j+2k) . IfAP=AQ=3 , then the vector equation of the plane OPQ is

r=(s+5t)i+2sj(t−3s)k
r=(3i+j−k)+s(2i−j+2k) +t(5i+k)
r=(s+5t)i+2sj(5s+t)k
r=(3t+s)i+2sj(i−3s)k

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