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AP EAMCET · Maths · Three Dimensional Geometry

Let \(\vec{a}, \vec{b}, \vec{c}\) be three non-coplanar vector. Then the point of intersection of the line joining the points \(\vec{a}+\vec{b}+\vec{c}, \vec{a}-\vec{b}+3 \vec{c}\) and the line joining the points \(2 \vec{a}-\vec{b}+\vec{c}, \vec{a}-2 \vec{b}+4 \vec{c}\) is

  1. A \(2 \vec{a}-4 \vec{c}\)
  2. B \(3 \vec{a}-3 \vec{b}+5 \vec{c}\)
  3. C \(\vec{a}-2 \vec{b}+4 \vec{c}\)
  4. D \(\vec{a}-\vec{b}+3 \vec{c}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\vec{a}-2 \vec{b}+4 \vec{c}\)

Step-by-step Solution

Detailed explanation

(c) Let…
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