If u- a- b- v- a- b and - a- - b- -2- then - u-v- -

The correct option is A 2√( 16 ( a. b) #160;^ 2 ) u× v=( a b ) ×( a+b ) =2a× b ∴| u× v | =2| a× b | =2√( a ^ 2 b ^ 2 sin ^ 2 θ #160; ...

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Addition of Vectors

If u= a- b,...

Question

If $\to u = \to a - \to b, \to v = \to a + \to b$ and $∣ ∣ \to a ∣ ∣ = ∣ ∣ ∣ \to b ∣ ∣ ∣ = 2,$ then $∣ ∣ \to u \times \to v ∣ ∣ =$

2 \sqrt{16 - {(\to a . \to b)}^{2}}

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\sqrt{16 - {(\to a . \to b)}^{2}}

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2 \sqrt{4 - {(\to a . \to b)}^{2}}

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\sqrt{4 - {(\to a . \to b)}^{2}}

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Solution

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Similar questions

| a \times b |^{2} = (a . a) (b .) - (a . b)^{2} = a^{2} b^{2} - (a . b)^{2}

∣ ∣ ¯ ¯ ¯ a ∣ ∣ = ∣ ∣ ¯ ¯ b ∣ ∣ = 2

{(¯ ¯ ¯ a \times ¯ ¯ b)}^{2} + {(¯ ¯ ¯ a . ¯ ¯ b)}^{2} =

| a \times b |^{2} + (a . b)^{2} = p | b |^{2}

p =

{∣ ∣ ∣ \to a \times \to b ∣ ∣ ∣}^{2} + {(\to a . \to b)}^{2}

¯ ¯ ¯ a = 2 ¯ i + 2 ¯ j + ¯ ¯ ¯ k, ¯ ¯ b = 5 ¯ i + ¯ j + 2 ¯ ¯ ¯ k

(¯ ¯ ¯ a \times ¯ ¯ b)^{2} + (¯ ¯ ¯ a . ¯ ¯ b)^{2} =

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