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Find the magnitude of the vector : ...

Find the magnitude of the vector :
`(1)/(sqrt(3))hat(i)+(1)/(sqrt(3))hat(j)-(1)/(sqrt(3))hat(k)`

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Explore conceptually related problems

Compute the magnitude of the following vectors: quad vec a=hat i+hat j+hat kvdotsvec b=2hat i-7hat j-3hat k;vec c=(1)/(sqrt(3))hat i+(1)/(sqrt(3))hat j-(1)/(sqrt(3))hat k

What is the magnitude of the vector 2 hat i -3 hat j + sqrt3 hat k ?

Knowledge Check

  • What is the interior acute angle of the parallelogram whose sides are represented by the vectors (1)/(sqrt(2))hat(i)+(1)/(sqrt(2))hat(j)+hat(k) and (1)/(sqrt(2))hat(i) - (1)/(sqrt(2))hat(j)+hat(k) ?

    A
    `60^(@)`
    B
    `45^(@)`
    C
    `30^(@)`
    D
    `15^(@)`

  • What is the interior acute angle of the parallelogram whose sides are represented by the vectors (1)/(sqrt2) hat(i) +(2)/(sqrt2) hat(j) + hat(k) and (1)/(sqrt2) hat(i) - (1)/(sqrt2) hat(j) + hat(k) ?

    A
    `60^(@)`
    B
    `45^(@)`
    C
    `30^(@)`
    D
    `15^(@)`

  • The expression (1/(sqrt(2))hat(i)+1/(sqrt(2))hat(j)) is a

    A
    Unit vector
    B
    Null vector
    C
    Vector of magnitude sqrt(2)`
    D
    Scalar

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    Let vec a=2hat i+hat j+hat k,hat b=hat i+2hat j-hat k and a unit vector vec c be coplanar.If vec c is perpendicular to vec a then vec c=+-(1)/(sqrt(2))(-hat j+hat k)( b) (1)/(sqrt(3))(-hat i-hat j-hat k)(1)/(sqrt(5))(hat o-2hat j)(d)(1)/(sqrt(3))(hat i-hat j-hat k)

    Find a unit vector parallel to the vector hat i+sqrt(3)hat j

    A non-zero vector vec a is such that its projections along vectors (hat i+hat j)/(sqrt(2)),(-hat i+hat j)/(sqrt(2)) and hat k are equal,then unit vector along vec a is (sqrt(2)hat j-hat k)/(sqrt(3))b(hat j-sqrt(2)hat k)/(sqrt(3)) c.(sqrt(2))/(sqrt(3))hat j+(hat k)/(sqrt(3))d.(hat j-hat k)/(sqrt(2))

    If in a Delta ABC,A=(0,0),B=(3,3sqrt(3)),C-=(-3sqrt(3),3) then the vector of magnitude sqrt(2) units directed along AO, where O is the circumcentre of ABC is (1-sqrt(3))hat i+(1+sqrt(3))hat j b.(1+sqrt(3))hat i+(1-sqrt(3))hat j c.(1+sqrt(3))hat i+(sqrt(3)-1)hat j d.none of these

    If side vec AB of an equilateral trangle ABC lying in the x-y plane 3hat i ,then side vec CB can be -(3)/(2)(hat i-sqrt(3)hat j) b.-(3)/(2)(hat i-sqrt(3)hat j) c.-(3)/(2)(hat i+sqrt(3)hat j) d.(3)/(2)(hat i+sqrt(3)hat j)

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