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Find the angle between two vectors veca ...

Find the angle between two vectors `veca and vecb` with magnitudes `sqrt(3)` nd 2 respectively such that `veca.vecb=sqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:
`'theta'=(pi)/(4)`.
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Knowledge Check

  • The angle between two vectors veca and vecb with magnitudes sqrt(3) and 4, respectively and veca.vecb = 2sqrt(3) is:

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

  • The angle between two vectros vecaandvecb with magnitudes sqrt3 and 4, respectively and veca.vecb=2sqrt3 is

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

  • If veca and vecb are any two vectors of magnitude 2 and 3 respectively such that |2(vecaxxvecb)|+|3(veca.vecb)|=k then the maximum value of k is

    A
    `sqrt13`
    B
    `2sqrt13`
    C
    `6sqrt13`
    D
    `10sqrt13`

    • Similar Questions

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    Find the angle between the vectors veca and vecb if |veca|=2|vecb|=3" and " veca.vecb=1 if veca=hati+hatj+hatk and vecb=hati-hatj-hatk .

    If veca=2hati+3hatj+6hatk and vecb=6hati+3hatj-2hatk , find the angle, between vectors veca and vecb . Also find unit vector perpendicular to both veca and vecb

    Find the angle between the vectors veca+vecb and veca-vecb if veca=2hati-hatj+3hatk and vecb=3hati+hatj-2hatk .

    Three vectors veca,vecb , vecc with magnitude sqrt2,1,2 respectively follows the relation veca=vecbxx(vecbxxvecc) the acute angle between the vectors vecb and vecc is theta . then find the value of 1+tantheta is

    If veca and vecb are any two vectors of magnitude 2 and 3 respectively such that |2(vecaxxvecb)|+|3(veca.vecb)|=k then the maximum value of k is

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