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Q) Two vectors 𝐚 ⃗=𝐚_𝟏 𝐢+𝐚_𝟐 𝐣 ̂+𝐚_𝟑 𝐤 ̂ and 𝐛 =𝐛_𝟏 𝐢+𝐛_𝟐 𝐣+𝐛_𝟑 𝐤 are collinear
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Let 𝐚 ⃗ be any vector such that |𝐚 ⃗ |=𝐚. The |𝐚 ⃗×𝐢 ⃗ |^𝟐+|𝐚 ⃗×𝐣 ⃗ |^𝟐+|𝐚 ⃗×𝐤 ⃗ |^𝟐
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Let 𝐚 ⃗ be any vector such that |𝐚 ⃗ |=𝐚. The |𝐚 ⃗×𝐢 ⃗ |^𝟐+|𝐚 ⃗×𝐣 ⃗ |^𝟐+|𝐚 ⃗×𝐤 ⃗ |^𝟐
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Let 𝐚 ⃗ 𝐚𝐧𝐝 𝐛 ⃗ be two non-zero vectors. Prove that |𝐚 ⃗×𝐛 ⃗ |≤|𝐚 ⃗ |. |𝐛 ⃗ | State
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If |𝐚 ⃗×𝐛 ⃗ |^𝟐+|𝐚 ⃗.𝐛 ⃗ |^𝟐=𝟒𝟎𝟎 𝐚𝐧𝐝 |𝐛 ⃗ |=𝟓, then find the value of |𝐚 ⃗ |.#vect
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