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Find the unit vector in the direction of...

Find the unit vector in the direction of the vector
`veca-2vecb+3vecc" ""if"" " veca=hati+hatj,vecb=hatj+hatk" ""and"" " vecc=hati+hatk.`

Answer

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Find the unit vector in the direction of the vector veca=hati+hatj+2hatk .

Find the unit vectors perpendicular to each of the vectors veca+vecb" " and veca-vecb ,where " "veca=hati+hatj+hatk and vecb=hati+2hatj+3hatk.

Knowledge Check

  • The unit vector in the direction of vecA=hati+hatj+hatk is

    A
    `hati+hatj+hatk`
    B
    `(hati+hatj+hatk)/(sqrt2)`
    C
    `(hati+hatj+hatk)/(sqrt3)`
    D
    `(hati+hatj+hatk)/(sqrt6)`

  • The unit vector in the direction of vecA=hati+hatj+hatk is

    A
    `hati+hatj+hatk`
    B
    `(hati+hatj+hatk)/(sqrt(2))`
    C
    `(hati+hatj+hatk)/(sqrt(3))`
    D
    `(hati+hatj+hatk)/(sqrt(6))`

    • Similar Questions

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    Find the unit vector parallel to 3veca-2vecb+4vecc,"if"" "veca=3hati-hatj-4hatk,vecb=-2hati+4hatj-3hatk,vecc=hati+2hatj-hatk .

    Find the unit vectors perpendicular to each of the vectors veca + vecb and veca - vecb , where veca = hati + hatj + hatk and vecb = hati + 2hatj + 3hatk

    Find the unit vector parallel to 3veca - 2vecb + 4vecc if veca = 3hati - hatj - 4hatk , vecb =-2hati + 4hatj - 3hatk , and vecc = hati + 2hatj - hatk.

    Find veca.vecb when veca=hati-2hatj+hatk" ""and"" " vecb=3hati-4hatj-2hatk

    Find veca.vecb when veca=2hati+2hatj-hatk" ""and"" " vecb=6hati-3hatj+2hatk

    Find the projection of the vector veca=2hati+3hatj+2k on the vector vecb=hati+2hatj+hatk .

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