Statement I: If a¯+2b¯, 2a¯+b¯ are position vectors of two points A, B then BA¯=b¯+a¯ Statement II: 4i + aj + k, bi + 2j + k are parallel then a = 2, b = 4Which of the above statement is correct

BA¯=OA¯−OB¯=a¯−b¯4i¯+aj¯+k¯ and bi¯+2j¯+k¯ are parallel 4b=a2=11

Statement I: If a¯+2b¯, 2a¯+b¯ are position vectors of two points A, B then BA¯=b¯+a¯ Statement II: 4i + aj + k, bi + 2j + k are parallel then a = 2, b = 4Which of the above statement is correct

BA¯=OA¯−OB¯=a¯−b¯4i¯+aj¯+k¯ and bi¯+2j¯+k¯ are parallel 4b=a2=11

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Statement I: If $\bar{a} + 2 \bar{b}, 2 \bar{a} + \bar{b}$ are position vectors of two points A, B then $\bar{B A} = \bar{b} + \bar{a}$
Statement II: $4 i + a j + k, b i + 2 j + k$ are parallel then a = 2, b = 4
Which of the above statement is correct

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Both I & II

only II

Neither I nor II

only I

answer is B.

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$\bar{B A} = \bar{O A} - \bar{O B} = \bar{a} - \bar{b}$

$4 \bar{i} + a \bar{j} + \bar{k}$ and $b \bar{i} + 2 \bar{j} + \bar{k}$ are parallel $\frac{4}{b} = \frac{a}{2} = \frac{1}{1}$

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Statement I: If a¯+2b¯, 2a¯+b¯ are position vectors of two points A, B then BA¯=b¯+a¯ Statement II: 4i + aj + k, bi + 2j + k are parallel then a = 2, b = 4Which of the above statement is correct

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Statement I: If $\bar{a} + 2 \bar{b}, 2 \bar{a} + \bar{b}$ are position vectors of two points A, B then $\bar{B A} = \bar{b} + \bar{a}$
Statement II: $4 i + a j + k, b i + 2 j + k$ are parallel then a = 2, b = 4
Which of the above statement is correct