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If bara = 2bari+2barj-3bark, barb=3bari ...

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

Text Solution

Verified by Experts

The correct Answer is:
`cos^(-1)((52)/(sqrt4810))`
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If bara=2bari+barj-3bark, barb=3barj-2barj-bark then find the angle between .

If bara = bari + 2barj - 3bark and barb = 3bari - barj + 2bark , then find the cosine of 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=bari+barj+tbark, barb=bari+2barj+3bark , then the value of 't' when bara+barb and bara-barb are perpendicular is

    A
    `pm 2`
    B
    `2sqrt2`
    C
    `pm2sqrt3`
    D
    `pm 3`

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