Let O be the origin and O A =2 i +2 j + k , O B = -2 +2 k and O C = 1 2 ( O B - O A ) for some λ > 0. If | O B O C |= 9 2 then which of the following statements is (are) TRUE?

Let O be the origin and O A =2 i +2 j + k , O B = -2 +2 k and O C = 1 2 ( O B - O A ) for…

Physics · JEE Advanced · NTA Exams — Kinematics

Let O be the origin and \(\overrightarrow{O A}=2 \hat{i}+2 \hat{j}+\hat{k},\) \(\overrightarrow{O B}=\hat{\imath}-2 \hat{\jmath}+2 \hat{k}\) and \(\overrightarrow{O C}=\frac{1}{2}(\overrightarrow{O B}-\lambda \overrightarrow{O A})\) for some λ > 0. If \(|\overrightarrow{O B} \times \overrightarrow{O C}|=\frac{9}{2}\) then which of the following statements is (are) TRUE?

Projection of
Area of the triangle OAB is
Area of the triangle ABC is
The acute angle between the diagonals of the parallelogram with adjacent sides

Answer

(C) Area of the triangle ABC is

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Let O be the origin and O A =2 i +2 j + k , O B = -2 +2 k and O C = 1 2 ( O B - O A ) for…

Answer

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