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Express the vector 2hati+3hatj+hatk as t...

Express the vector `2hati+3hatj+hatk` as the sum of two vectors, one vector is perpendicualr to `2hati-4hatj+hatk` and the other vector is parallel to `2hati-4hatj+hatk`.

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Knowledge Check

  • The unit vector perpendicualr to both the vectors hati+2hatj-2hatk and -hati+2hatj+2hatk is ………………

    A
    `(1)/(sqrt(5))(2hati-hatk)`
    B
    `(1)/(sqrt(5))(-2hati+hatk)`
    C
    `(1)/(sqrt(5))(2hati+hatj+hatk)`
    D
    `(1)/(sqrt(5))(2hati+hatk)`

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