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TS EAMCET · Maths · Vector Algebra

The vector that is parallel to the vector 2i^-2j^-4k^ and coplanar with the vectors i^+j^ and j^+k^ is

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

Answer & Solution

Correct Answer

(C) i^-j^-2k^

Step-by-step Solution

Detailed explanation

Let the required vector is ai^+bj^+ck^. As the three vectors ai^+bj^+ck^, i^+j^ & j^+k^ are coplanar so one must be linear combination of other two i.e, ai^+bj^+ck^=λi^+j^+μj^+k^ ⇒ai^+bj^+ck^=λi^+λ+μj^+μk^ On comparison, we…