Let -2 a-b- and -4 -2 a-3 b- be two given vectors where vectors a- and b- are non-collinear- The value of - for which vectors - and - are collinear- is-

Α=(λ 2)a+b β=(4λ 2)a+3b As per question, α and β are collinear ∴ (λ 2) amp;1 (4λ 2) amp;3 =0 ⇒ 3λ 6 4λ+2=0 ⇒λ= 4 ...

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Test for Collinearity of Vectors

Let α⃗=λ-2 a⃗...

Question

Let $\to α = (λ - 2) \to a + \to b$ and $\to β = (4 λ - 2) \to a + 3 \to b$ be two given vectors where vectors $\to a$ and $\to b$ are non-collinear. The value of $λ$ for which vectors $\to α$ and $\to β$ are collinear, is:

- 3

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