If vectors x-2 a-b- and 2x-1 a-b- are parallel then x

The correct option is A 1/3As vectors ( x 2 ) a+b and ( 2x+1 ) a b are parallel. x 22x+1= 1 ⇒ x 2= 2x 1 ∴ #160; x=13 Hence, optio ...

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Question

If vectors $(x - 2) \to a + \to b$ and $(2 x + 1) \to a - \to b$ are parallel then $x$

1/3

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\to a, \to b

\to c = (x - 2) \to a + \to b, \to d = (2 x + 1) \to a - \to b

x =

^a a n d^b

\to l = (2 x + 1) \to a - \to b

\to m = (x - 2) \to a + \to b

\to a

\to b

| \to a + \to b | = \sqrt{3}

(2 \to a - 5 \to b) . (3 \to a + \to b) =

\to a

\to b

1

3

(1 - 3 \to a . \to b)^{2} + | 2 \to a + \to b + 3 (\to a \times \to b) |^{2} = 98

\to a

\to b

| \to a | = 2, ∣ ∣ \to b ∣ ∣ = 3

∣ ∣ 2 \to a - \to b ∣ ∣ = 5,

∣ ∣ 2 \to a + \to b ∣ ∣

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