ExamBro
ExamBro
TS EAMCET · Maths · Three Dimensional Geometry

A line L is passing through the point A whose position vector is i^+2j^-3k^ and parallel to the vector 2i^+j^+2k^. A plane π is passing through the points i^+j^+k^, i^-j^-k^ and parallel to the vector i^-2j^. Then the point where this plane π meets the line L is

  1. A 13-7i^+j^-19k^
  2. B 7i^+j^-19k^
  3. C 3i^+3j^-k^
  4. D 2i^-j^+k^
Verified Solution

Answer & Solution

Correct Answer

(A) 13-7i^+j^-19k^

Step-by-step Solution

Detailed explanation

Given that, Position vector of A is i^+2j^-3k^ and it is parallel to vector 2i^+j^+2k^. The vector equation of line passing through the point A and parallel to vector b→ is r→=a→+λb→ ⇒r→=i^+2j^-3k^+λ2i^+j^+2k^…