If vectors a=2i^+2j^+3k^, b=−i^+2j^+k^and c=3i^+j^are such that a+λ bis perpendicular to c,then find the value of λ

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If vectors {{a}}={2}{{i}}+{2}{{j}}+{3}{{k}}, {{b}}=-{{i}}+{2}{

Question

If vectors $a = 2 \hat{i} + 2 \hat{j} + 3 \hat{k}, b = - \hat{i} + 2 \hat{j} + \hat{k}$ and $c = 3 \hat{i} + \hat{j}$ are such that $a + λ b$ is perpendicular to $c,$ then find the value of $λ$

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Benjamin Discussed

If vectors

a = 2 \hat{i} + 2 \hat{j} + 3 \hat{k}, b = - \hat{i} + 2 \hat{j} + \hat{k}

and

c = 3 \hat{i} + \hat{j}

are such that

a + λ b

is perpendicular to

c,

then find the value of

λ

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Question Text

If vectors

a = 2 \hat{i} + 2 \hat{j} + 3 \hat{k}, b = - \hat{i} + 2 \hat{j} + \hat{k}

and

c = 3 \hat{i} + \hat{j}

are such that

a + λ b

is perpendicular to

c,

then find the value of

λ