The set of real values of λ for which the vectors λi¯−3j¯+5k¯ and 2λi¯−λj¯+k¯ are perpendicular to each other is

a¯.b¯=0λi¯−3j¯+5k¯.2λi¯−λj¯+k¯=02λ2+3λ+5=0Δ=9−40=−31<0No real values of 'λ' satisfy the equation

The set of real values of λ for which the vectors λi¯−3j¯+5k¯ and 2λi¯−λj¯+k¯ are perpendicular to each other is

a¯.b¯=0λi¯−3j¯+5k¯.2λi¯−λj¯+k¯=02λ2+3λ+5=0Δ=9−40=−31<0No real values of 'λ' satisfy the equation

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The set of real values of $λ$ for which the vectors $λ \bar{i} - 3 \bar{j} + 5 \bar{k}$ and $2 λ \bar{i} - λ \bar{j} + \bar{k}$ are perpendicular to each other is

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$\{- 2\}$

$\{0, 1\}$

${2, - 1}$

$ϕ$

answer is D.

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$\bar{a} . \bar{b} = 0$

$(λ \bar{i} - 3 \bar{j} + 5 \bar{k}) . (2 λ \bar{i} - λ \bar{j} + \bar{k}) = 0$

$2 λ^{2} + 3 λ + 5 = 0$

$Δ = 9 - 40 = - 31 < 0$

No real values of $' λ'$ satisfy the equation

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The set of real values of λ for which the vectors λi¯−3j¯+5k¯ and 2λi¯−λj¯+k¯ are perpendicular to each other is

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The set of real values of $λ$ for which the vectors $λ \bar{i} - 3 \bar{j} + 5 \bar{k}$ and $2 λ \bar{i} - λ \bar{j} + \bar{k}$ are perpendicular to each other is