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Q) If |𝐚 ⃗×𝐛 ⃗ |=√(𝟑 ) 𝐚𝐧𝐝 𝐚 ⃗.𝐛 ⃗=−𝟑, then angle between 𝐚 ⃗ 𝐚𝐧𝐝 𝐛 ⃗ is

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Q) If |𝐚  |=𝟑, |𝐛  |=𝟓, |𝐜  |=𝟒 and 𝐚 +𝐛 +𝐜 =𝟎 , then find the value of (𝐚 .𝐛 +𝐛 .𝐜 +𝐜 .𝐚  )

Q) The sine of the angle between the vectors 𝐚 ⃗=𝟑𝐢 ̂+𝐣 ̂+𝟐𝐤 ̂ and 𝐛 ⃗=𝐢 ̂+𝐣 ̂+𝟐𝐤 ̂ is

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Q) If the angle between the vectors 𝐚 ⃗ 𝐚𝐧𝐝 𝐛 ⃗ 𝐢𝐬 𝛑/𝟒 𝐚𝐧𝐝 |𝐚 ⃗×𝐛 ⃗ | = 1, then

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If |𝐚 ⃗×𝐛 ⃗ |^𝟐+|𝐚 ⃗.𝐛 ⃗ |^𝟐=𝟒𝟎𝟎 𝐚𝐧𝐝 |𝐛 ⃗ |=𝟓, then find the value of |𝐚 ⃗ |.

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