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Find the acute angle between the followi...

Find the acute angle between the following planes: i) `vecr.(hati+hatj-2hatk)=5` and `vecr.(2hati+2hatj-hatk)=9` ii) `vecr.(hati+2hatj-hatk)=6` and `vecr.(2hati-hatj-hatk)+3=0`

Text Solution

Verified by Experts

The correct Answer is:
i) `cos^(-1)(sqrt(6)/3)`, ii) `cos^(-1)(1/6)`, iv) `cos^(-1)(6/7)`
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Find the angle between the planes vecr.(hati+hatj-2hatk)=3 and vecr.(2hati-2hatj+hatk)=2

Find the angle between the planes. vecr.(hati+hatj+2hatk)=5 and vecr.(2hati-hatj+hatk)=8 .

Knowledge Check

  • The angles between the planes vecr.(3hati-6hatj+2hatk)=4 and vecr.(2hati-hatj+2hatk)=3 , is

    A
    `cos^(-1)(16/21)`
    B
    `cos^(-1)(4/21)`
    C
    `cos^(-1)(3/4)`
    D
    `cos^(-1)(1/4)`

  • The distance between the planes given by vecr.(hati+2hatj-2hatk)+5=0 and vecr.(hati+2hatj-2hatk)-8=0 is

    A
    1 unit
    B
    `13/3` units
    C
    13 units
    D
    none of these

  • The angle between the planes vecr.(2hati-hatj+hatk)=6 and vecr.(hati+hatj+2hatk)=5 is

    A
    `(pi)/3`
    B
    `(2pi)/3`
    C
    `(pi)/6`
    D
    `(5pi)/6`

    • Similar Questions

    Explore conceptually related problems

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    Find the angle between the line vecr.(3hati+hatk)+lambda(hatj+hatk) and the plane vecr.(2hati-hatj+2hatk)=1 .

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