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JEE MATHEMATICS MCQ: DOT PRODUCT OF VECTORS

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Analyzing +4 | -1
Let three vectors aa, bb and cc be such that a×b=c,  b×c=aa \times b = c,\,\,b \times c = a and ∣a∣=2\left| a \right| = 2. Then, which one of the following is not true?
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Correct option: D
∣3a+b−2c∣2=51{\left| {3a + b - 2c} \right|^2} = 51
Option D (∣3a+b−2c∣2=51{\left| {3a + b - 2c} \right|^2} = 51) is not true because by using the given conditions and vector properties, the correct value of the expression is 53, not 51.

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