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 ExamsVector 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?
  1. The points P, Q, R and S are NOT coplanar
  2. is the position vector of a point which divides PR internally in the ratio 5 : 4
  3. is the position vector of a point which divides PR externally in the ratio 5 : 4
  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

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

More Vector Algebra questions · Browse all practice questions