Let a = i - 2 j + 3 k , b = i - j - k and c be a vector such that a + ( b c ) = 0 and b c = 5. Then the value of 3( c a ) is equal to _____.

JEE Main 2022 Mathematics question

Let , and be a vector such that and . Then the value of is equal to .

Answer: 0

Here , so , which is consistent with being perpendicular to . Taking the cross product of with : $ × ( × ) = (·

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Question ID VK-035246