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Question: Answered & Verified by Expert
If $\bar{r} \cdot(2 \bar{i}+3 \bar{j}+4 \bar{k})=5, \bar{r} \cdot(\bar{i}+\bar{j}-\bar{k})=7$ are two planes and $(16,-9,0)$ is a point common to both the planes then the vector equation of the line of intersection of the planes is $\bar{r}=$
MathematicsThree Dimensional GeometryTS EAMCETTS EAMCET 2022 (20 Jul Shift 1)
Options:
  • A $(16+7 \lambda) \bar{i}+(6 \lambda+9) \bar{j}+\lambda \bar{k}$
  • B $(16-7 \lambda) \bar{i}+(6 \lambda-9) \bar{j}-\lambda \bar{k}$
  • C $16 \bar{i}-9 \bar{j}+\lambda(\bar{i}-7 \bar{j}+6 \bar{k})$
  • D $16 \bar{i}-9 \bar{j}+\lambda(6 \bar{i}-\bar{j}-7 \bar{k})$
Solution:
1398 Upvotes Verified Answer
The correct answer is: $(16-7 \lambda) \bar{i}+(6 \lambda-9) \bar{j}-\lambda \bar{k}$
No solution. Refer to answer key.

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