If a¯=i¯+j¯+tk¯;b¯=i¯+2j¯+3k¯ then the values of ‘t’ for which a¯+b¯ and a¯−b¯ are perpendicular are

a¯+b¯ and a¯−b¯ are perpendicular →a¯+b¯.a¯−b¯=0

If a¯=i¯+j¯+tk¯;b¯=i¯+2j¯+3k¯ then the values of ‘t’ for which a¯+b¯ and a¯−b¯ are perpendicular are

a¯+b¯ and a¯−b¯ are perpendicular →a¯+b¯.a¯−b¯=0

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If $\bar{a} = \bar{i} + \bar{j} + t \bar{k}; \bar{b} = \bar{i} + 2 \bar{j} + 3 \bar{k}$ then the values of ‘t’ for which $\bar{a} + \bar{b}$ and $\bar{a} - \bar{b}$ are perpendicular are

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$\pm 2$

$\pm 2 \sqrt{2}$

$\pm 2 \sqrt{3}$

$\pm 3$

answer is C.

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$\bar{a} + \bar{b}$ and $\bar{a} - \bar{b}$ are perpendicular $\to (\bar{a} + \bar{b}) . (\bar{a} - \bar{b}) = 0$

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If a¯=i¯+j¯+tk¯;b¯=i¯+2j¯+3k¯ then the values of ‘t’ for which a¯+b¯ and a¯−b¯ are perpendicular are

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If $\bar{a} = \bar{i} + \bar{j} + t \bar{k}; \bar{b} = \bar{i} + 2 \bar{j} + 3 \bar{k}$ then the values of ‘t’ for which $\bar{a} + \bar{b}$ and $\bar{a} - \bar{b}$ are perpendicular are