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QNEET-2013-Ph-1600: NEET 2013 Physics - Class 11 NEET-2013-Ph-1600 Solution: Vectors \( {A} {B}\) and \( {C}\) are such that \( {A} {B} =…

Vectors A⃗B⃗\vec{A} \vec{B} and C⃗\vec{C} are such that A⃗⋅B⃗=0\vec{A} \cdot \vec{B} = 0 and A⃗⋅C⃗=0\vec{A} \cdot \vec{C} = 0. Then the vector parallel to A⃗\vec{A} is A⃗×B⃗\vec{A} \times \vec{B} B⃗+C⃗\vec{B} + \vec{C} B⃗×C⃗\vec{B} \times \vec{C} B⃗\vec{B} and C⃗\vec{C}

Multiple Choice Options

  • A A→×B→\overrightarrow A \times \overrightarrow B A _ B
  • B B→+C→\overrightarrow B + \overrightarrow C B + C
  • C B→×C→\overrightarrow B \times \overrightarrow C B _ C
  • D B→\overrightarrow B B and C→\overrightarrow C C

Step-by-Step Verified Solution

Vector triple product of three vectors A _ , B _ and C _ is A _ _ ( B _ _ C _ ) = ( A _ . C _ ) B _ _ ( A _ . B _ ) C _ Given: A _ . B _ = 0 , A _ . C _ = 0 _ A _ _ ( B _ _ C _ ) = 0 Thus the vector A _ is parallel to vector B _ _ C _ .

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