Let \overline{a}, \overline{b}, \overline{c} be three non-coplanar vectors and {\L} be the line passing through the points \overline{a}-\overline{b}+\overline{c} and \overline{b}-\overline{c}. If \pi is a plane passing through the points 2 \overline{a}-\overline{b}, 2 \overline{b}-\overline{c} and 2 \overline{c}-\overline{a}, then the point of intersection of L and \pi is [TG EAPCET 13 May 2023 Shift 2]

\overline{a}-\overline{b}+\overline{c}

TS EAMCET Engineering 13 May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 32 of 160

Marks: +1, -0

Let a,b,c be three non-coplanar vectors and L be the line passing through the points a−b+c and b−c. If π is a plane passing through the points 2a−b,2b−c and 2c−a, then the point of intersection of L and π is

[TG EAPCET 13 May 2023 Shift 2]

a−b
b+c
c−a
a−b+c

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