If a-2-2-3k- b-2-k- and c-3- are such that a-b- is a perpendicular to c- then find the value of -

The given vectors are a⃗=2î+2ĵ+3k̂, #10;b= î+2ĵ+k̂ , and c⃗=3î+ĵ .Now, #10; a+λb⃗=(2î+2ĵ+3k̂)+λ ( #10;i+2ĵ+k̂)=(2 λ)î+(2+2λ)#10;j+(3+λ)k̂ If ...

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Applications Scalar Triple Product

If a⃗=2î+2ĵ...

Question

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

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\to a = 2^i + 2^j + 3^k, \to b = -^i + 2^j +^k

\to c = 3^i +^j

\to a + λ \to b

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\to a =^i -^j + 2^k, \to b = 2^i + 3^j +^k, \to c =^i -^k

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\sqrt{78}

\to a = 2^i + 2^j + 3^k

\to b = -^i + 2^j +^k

\to c = 3^i +^j

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\to a = 2^i +^j + 3^k

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\to a = 2^i + 2^j + 3^k, \to b = -^i + 2^j + 3^k \to c = 3^i +^j

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α

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