Let -2a-b and -4-2a-3b be two given vectors such that a and b are non-collinear- Then the value of - for which vectors - and - are collinear is -

Given : nbsp;nbsp; α=(λ 2)a+b and β=(4λ 2)a+3b are collinear ⇒λ 24λ 2=13 ⇒λ= 4 ...

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Byju's Answer

Standard IX

Mathematics

Equation of a Plane Passing through a Point and Perpendicular to a Given Vector

Let α=λ-2a+b ...

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 such that $\to a$ and $\to b$ are non-collinear. Then the value of $λ$ for which vectors $\to α$ and $\to β$ are collinear is :

- 3

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Solution

The correct option is D $- 4$
Given : $\to α = (λ - 2) \to a + \to b$ and $\to β = (4 λ - 2) \to a + 3 \to b$ are collinear
$\Rightarrow \frac{λ - 2}{4 λ - 2} = \frac{1}{3} \Rightarrow λ = - 4$

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