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Find the components of vector barA=2hati...

Find the components of vector `barA=2hati +3 hatj ` along the directions of `hati + hatj and hati - hatj `

Text Solution

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`5/2 ( hati - hatj ) ,((hatj - hati)/( 2))`
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Explore conceptually related problems

Find the components of vector vecA=2hati+3hatj along the directions of hati+hatj and hati-hatj .

hatiandhatj are unit vectors along x - and y- axis respectively . What is the magnitude and direction of the vectors hati+hatjandhati-hatj ? What are the components of a vector A=2hati+3hatj along the directions of hati+hatjand hati-hatj ? [ You may use graphical method]

Knowledge Check

  • The line through hati + 3 hatj + 2 hatk and bot to the line vecr = (hati + 2 hatj - hatk) + lamda ( 2 hati + hatj + hatk) and (2 hati + 6 hatj + hatk) + mu ( hati + 2 hatj + 3 hatk) is

    A
    `veci = (hati + 2 hatj - hatk) + lamda ( - hati + 5 hatj - 3 hatk)`
    B
    `vecr = hati + 3 hatj + 2 hatk + lamda + lamda ( hati - 5 hatj + 3 hatk)`
    C
    `vecr = hati + 3 hatj + 2 hatk + lamda ( hati + 5 hatj + 3 hatk)`
    D
    `vecr = hati + 3 hatj + 2 hatk + lamda ( - hati - 5 hatj - 3 hatk)`

  • If e is unity vector perpendicular to the plane determined by the points 2hati + hatj + hatk , hati - hatj + hatk - hatj + hatk and - hati + hatj - hatk . If a = 2 hati -3 hatj + 6 hatk , then the projection vector of a on e is

    A
    `11/14 ( - 2 hati + hatj + 3 hatk) `
    B
    `1/3 (hati - 2hatj+ 2hatk)`
    C
    `1/7 (2hati - 3hatj + 6hatk)`
    D
    `(1)/(sqrt14) (2 hati - hatj + 3 hatk)`

  • If the vectors bara = hati + hatj + hatk, barb = hati - hatj +2hatk and barc = xhati + (x-2)hatj - hatk are coplanar, then x =

    A
    1
    B
    2
    C
    0
    D
    -2

    • Similar Questions

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    The component of vector vecA = a_x hati +a_y hatj + a_z hatk along the direction of 'hati - hatj'

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

    Find the projection of the vector hati-hatj on the vector hati+hatj .

    Find the projection of the vector hati+3hatj+7hatk on the vector 7hati-hatj+8hatk .

    Find the direction cosines of the vector hati+2hatj+3hatk .

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