If the vector b → = 3 j ^ + 4 k ^ is written as the sum of a vector b 1 → , parallel to a → = i ^ + j ^ and a vector b → 2 , perpendicular to a → , then b → 1 × b → 2 is equal to :

Question

If the vector b → = 3 j ^ + 4 k ^ is written as the sum of a vector b 1 → , parallel to a → = i ^ + j ^ and a vector b → 2 , perpendicular to a → , then b → 1 × b → 2 is equal to :, 6 i ^ - 6 j ^ + 9 2 k ^, - 3 i ^ + 3 j ^ - 9 k ^, - 6 i ^ + 6 j ^ - 9 2 k ^, 3 i ^ - 3 j ^ + 9 k ^

MARKS App · Accepted Answer

b → 1 = b → ⋅ a → a ^ 2 = 3 j ^ + 4 k ^ ⋅ i ^ + j ^ 2 i ^ + j ^ 2 = 3 i ^ + j ^ 2 × 2 = 3 i ^ + j ^ 2 b → 1 + b → 2 = b → b → 2 = b → - b → 1 = 3 j ^ + 4 k ^ - 3 2 i ^ + j ^ b → 2 = - 3 2 i ^ + 3 2 j ^ + 4 k ^ b → 1 × b → 2 = i ^ j ^ k ^ 3 2 3 2 0 - 3 2 3 2 4 ⇒ i ^ 6 - j ^ 6 + k ^ 9 4 + 9 4 = 6 i ^ - 6 j ^ + 9 2 k ^

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