If the diagonals of a parallelogram are 3i¯+j¯-2k¯ and i¯ -3j¯+4k¯, then the length of the larger side is

a+b=3i+j-2k a- b=i-3j+4k diagonals are 2a=4i-2j+2k ⇒ a=1+4+1=6 2b=-2i-4j+6k ⇒ b=4+1+9=14

If the diagonals of a parallelogram are 3i¯+j¯-2k¯ and i¯ -3j¯+4k¯, then the length of the larger side is

a+b=3i+j-2k a- b=i-3j+4k diagonals are 2a=4i-2j+2k ⇒ a=1+4+1=6 2b=-2i-4j+6k ⇒ b=4+1+9=14

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If the diagonals of a parallelogram are $3 \bar{i} + \bar{j} - 2 \bar{k}$ and $\bar{i} - 3 \bar{j} + 4 \bar{k}$ , then the length of the larger side is

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$\sqrt{13}$

$\sqrt{14}$

$\sqrt{6}$

$\sqrt{18}$

answer is B.

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$a + b = 3 i + j - 2 k a - b = i - 3 j + 4 k diagonals are 2 a = 4 i - 2 j + 2 k \Rightarrow |a| = \sqrt{1 + 4 + 1} = \sqrt{6} 2 b = - 2 i - 4 j + 6 k \Rightarrow |b| = \sqrt{4 + 1 + 9} = \sqrt{14}$

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If the diagonals of a parallelogram are 3i¯+j¯-2k¯ and i¯ -3j¯+4k¯, then the length of the larger side is

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If the diagonals of a parallelogram are $3 \bar{i} + \bar{j} - 2 \bar{k}$ and $\bar{i} - 3 \bar{j} + 4 \bar{k}$ , then the length of the larger side is