Let \pi_1 be the plane determined by the vectors \hat{ i }+\hat{ j } \cdot \hat{ i }+\hat{ k } and \pi_2 be the plane determined by the vectors \hat{ j }-\hat{ k }, \hat{ k }-\hat{ i }. Let a be a non-zero vector parallel to the line of intersection of the planes \pi_1 and \pi_2. If b =\hat{ i }+\hat{ j }-\hat{ k }, then the angle between the vectors a and b is

Correct Answer is : cos−1(√23)

\cos ^{-1} (\sqrt{\frac{2}{3}})

TG EAMCET 3 May 2025 Shift 1 Paper

Question : 34 of 160

Marks: +1, -0

Let π1 be the plane determined by the vectors

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and π2 be the plane determined by the vectors

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−

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−

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. Let a be a non-zero vector parallel to the line of intersection of the planes π1 and π2. If b=

∧

−

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, then the angle between the vectors a and b is

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