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Find the unit vector in the direction of...

Find the unit vector in the direction of the vector `vec a = hat i - hat j + 2 hat k`.

Text Solution

Verified by Experts

The correct Answer is:
`(hat i)/(sqrt6) + (hat j)/(sqrt 6) + (2 hat k)/(sqrt6)`
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Find the unit vector in the direction of the vector vec a = -hat i + 2hat j + 2 hat k .

Find a unit vector in the direction of the vector vec a = 2 hat i + 2 hat j + hat k .

Knowledge Check

  • The unit vector in the direction of the sum of vectors hat i + hat j + hat k and 2 hat i + 3 hat j + 4 hat k is

    A
    `(1)/(5sqrt2)(3 hat i + 4 hat j + 5 hat k)`
    B
    `(1)/(5 sqrt2)(3 hat i - 4 hat j - 5 hat k)`
    C
    `(1)/(2 sqrt2)(4 hat i + 3 hat j + 5 hat k)`
    D
    `(1)/(3sqrt2(-3 hat k + 4 hat i + 5 hat j)`

    • Similar Questions

    Explore conceptually related problems

    Find a unit vector in the direction of the sum of vectors vec a = 2 hat i + 2 hat j - 5 hat k and vec b = 2 hat i + hat j + 3 hat k .

    Find the direction cosines of the vector hat i + 2 hat j + 2 hat k .

    Find a unit vector perpendicular to each of the vector vec a = hat i - 2 hat j + 3 hat k and vec b = hat i + 2hat j - hat k .

    Find a vector in the direction of the vector 5 hat i + hat j - 2 hatk which has magnitude 6 units.

    A vector of magnitude 7 units, parallel to the resultant of the vectors vec a = 2 hat i - 3 hat j - 2 hat k and vec b = - hat i + 2 hat j + hat k and vec c = - hat i + 2 hat j + hat k

    Find a vector in the direction of vector 5 hat i - hat j + 2 hat k which has magnitude 8 units.

    Write the direction ratios of the vector vec a = hat i - hat j + 2 hat k and hence calculate the direction cosines.

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