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Measure of angle between the planes ba...

Measure of angle between the planes
`barr.(2i -j - 2k)=3` and `barr.(8i - j - 4k)=5` is

A

`cos^(-1)(1/3)`

B

`cos^(-1)(2/3)`

C

`cos^(-1)(4/3)`

D

`cos^(-1)(5/3)`

Text Solution

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The correct Answer is:
A, B, C, D
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Knowledge Check

  • Measure of angle between the planes bar(r ).(3i+j-k)=1 and barr.(i+4j-2k)=2 is

    A
    `cos^(-1)(9/sqrt(231))`
    B
    `cos^(-1)(4/sqrt(231))`
    C
    `cos^(-1)(11/sqrt(231))`
    D
    `sin^(-1)(4/sqrt(231))`

  • Line of intersection of the two planes barr.(3i - j + k)=1 and barr.(i+4j-2k)=2 is parallel to the vector

    A
    2i+7j+13k
    B
    `-2i-7i+13k`
    C
    `2i+7j-13k`
    D
    `-2i + 7j +13k`

  • The sine of the angle between the lines r=2i+2j-k+(i+j+k)t and the plane r.(3i-4j+5k)=q is

    A
    `2sqrt(6)//15`
    B
    `2sqrt(3)//15`
    C
    `sqrt(201)//15`
    D
    none of these

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