Let the position vectors of the points P , Q , R and S be a = i +2 j -5 k , b =3 i +6 j…
Mathematics · JEE Advanced · NTA Exams — Vector Algebra
Let the position vectors of the points P, Q, R and S be \(\vec{a}=\hat{i}+2 \hat{j}-5 \hat{k},\) \(\vec{b}=3 \hat{i}+6 \hat{j}+3 \hat{k},\)
\(\vec{c}=\frac{17}{5} \hat{i}+\frac{16}{5} \hat{j}+7 \hat{k}\) and
respectively.
Then which of the following statements is true?
\(\vec{c}=\frac{17}{5} \hat{i}+\frac{16}{5} \hat{j}+7 \hat{k}\) and
Then which of the following statements is true?
- The points P, Q, R and S are NOT coplanar
is the position vector of a point which divides PR internally in the ratio 5 : 4
is the position vector of a point which divides PR externally in the ratio 5 : 4- The square of the magnitude of the vector

Answer
(B) is the position vector of a point which divides PR internally in the ratio 5 : 4
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