Home
Class 12
MATHS
Find the unit vector in the direction...

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

Text Solution

Verified by Experts

Unit vector `hata = (veca)/(|veca|)`
Given `veca = hat i+ hat j+2 hat k`
now , `|veca| = sqrt( 1^2 +1^2 +2^2)`
`= sqrt6`
...
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

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.

    For given vectors vec a = 2 hat i - hat j + 2 hat k and vec b = - hat i + hat j - hat k , find the unit vector in the direction of the vector vec a + vec b .

    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 of magnitude 5 units, and parallel to the resultant of the vectors vec a = 2 hat i + 3 hat j - hat k and vec b = hat i - 2 hat j+ hat k

    Home
    Profile