A line passes through a point A with p.v. 3 i + j - k and is parallel to the vector 2 i …
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
A line passes through a point A with p.v. \(3 \hat{i}+\hat{j}-\hat{k}\)and is parallel to the vector \(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}}\). If P is a point on this line such that AP = 15 units, then the p.v. of the point P may be:
- \(13 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}-9 \hat{\mathrm{k}}\)
- \(13 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}+9 \hat{\mathrm{k}}\)
- \(7 \hat{\mathrm{i}}-6 \hat{\mathrm{j}}+11 \hat{\mathrm{k}}\)
- \(+7 \hat{\mathrm{i}}+6 \hat{\mathrm{j}}+11 \hat{\mathrm{k}}\)
Answer
(B) 13 i -4 j +9 k
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