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If bara = 6bari+2barj+3bark and barb = 2...

If `bara = 6bari+2barj+3bark and barb = 2bari - 9barj+6bark , " then find " bara.barb " and the angle between " bara and barb .

Text Solution

Verified by Experts

The correct Answer is:
`12 and cos^(-1)(12/77)`
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If bara = bari + 2barj - 3bark and barb = 3bari - barj + 2bark , then find the cosine of the angle between 2bara+barb and bara+2barb .

If bara = 2bari+2barj-3bark, barb=3bari -barj+3bark, " then find the angle between " 2bara+barb and bara+2barb .

Knowledge Check

  • If bara = 3bari - 4barj +5bark, barb = 2bari+3barj-bark ," then the angle between " bara and barb is

    A
    `pi+cos^(-1)(11/(10sqrt7))`
    B
    `pi-cos^(-1)(11/(10sqrt7))`
    C
    `cos^(-1)(11/(10sqrt7))`
    D
    `-cos^(-1)(11/(10sqrt7))`

  • If bara =-bari+barj+2bark, barb =2bari +barj-bark, barc =-2bari+barj+3bark then the angle between 2bara-barc and bara+barb is

    A
    `pi/4`
    B
    `pi/6`
    C
    `pi/2`
    D
    `(3pi)/4`

  • If bara=3bari+2barj+bark,barb=bari+barj+2bark and barc=bari+3barj+3bark then then the angle between bara and the plane containing the face determined by barb and barc is

    A
    `sini^(-1)((1)/(3))`
    B
    `cos^(-1)((9)/(14))`
    C
    `sin^(-1)((9)/(14))`
    D
    `sin^(-1)((2)/(3))`

    • Similar Questions

    Explore conceptually related problems

    If bara=2bari+barj-3bark, barb=3barj-2barj-bark then find the angle between .

    If bara " is perpendicular to " bari,barj & bark, " then find " bara .

    Let bara = bari+barj+bark and barb =2bari+3barj+bark . Find The vector components of barb " in the direction " bara " and perpendicular to that of " bara .

    If bara = bari - 2barj - 3bark , barb= 2bari + barj - bark , barc = bari + 3barj - 2bark find bara xx (barb xx barc) .

    If bara = bari - 2barj - 3bark, barb = 2bari + barj - bark , barc = bari + 3barj - 2bark then find bar(a) xx (barb xx barc) and |(barb xx barc) xx barc | .

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