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The vector equation barr=hati-2hatj-ha...

The vector equation
`barr=hati-2hatj-hatk+t(6hatj-hatk)`, represents a line passing through points

A

`(1,-2,-1)and(1,4,-2)`

B

`(1,-2,-1)and(0,-6,1)`

C

`(0,-6,1)and(1,2,-1)`

D

`(0,-6,1)and(-1,2,1)`

Text Solution

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The correct Answer is:
A
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Explore conceptually related problems

Find the vector equation of a line parallel to the vector 2hati-hatj+2hatk and passing through a point A with position vector 3hati+hatj-hatk .

Find the vector equation of the plane passing through the intersection of the planes barr*(2hati + 2hatj -3hatk) = 8, barr*(2hati + 4hatj + 3hatk) = 7 and through the point (2, 1, 3).

Knowledge Check

  • The vector equation vecr=hati-2hatj-hatk+t(6hatj-hatk) represents a straight line passing through the points

    A
    `(0,6,-1) and (1,-2,-1)`
    B
    `(0,6,-1) and (-1,-4,-2)`
    C
    `(1,-2,-1) and (1,4,-2)`
    D
    `(1,-2,-1) and (0,-6,1)`

  • The vector equation of the plane barr=(2hati+hatk)+lamdahati+mu(hati+2hatj-3hatk) is

    A
    `barr.(2hati+3hatj+2hatk)=2`
    B
    `barr.(2hati+3hatj-2hatk)=2`
    C
    `barr.(3hatj+2hatk)=2`
    D
    `barr.(3hatj-2hatk)=2`

  • The distance of the point having position vector -hati+ 2 hatj + 6 hatk from the straight line passing through the point (2,3,-4) and parallel to the vector, 6 hati+ 3 hatj -4 hatk is :

    A
    `2sqrt13`
    B
    `4sqrt3`
    C
    `6`
    D
    7

    • Similar Questions

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    Equation of a plane passing through the intersection of the planes vecr.(3hati-hatj+hatk)=1 and vecr.(hati+4hatj-2hatk)=2 and passing through the point (hati+2hatj-hatk) is :

    The position vector of a point at a distance of 3sqrt(11) units from hati-hatj+2hatk on a line passing through the points hati-hatj+2hatk and parallel to the vector 3hati+hatj+hatk is

    The cartesian equation of the line barr = (hati + hatj + hatk)+ lambda(hatj + hatk) is

    The cartesian equation of a line passing through the point having position vector 2hati +hatj - hatk and parallel to the line passing joining the points -hati + hatj + 4hatk and hati + 2hatj + 2hatk , is

    The position vector of the point in which the line joining the points hati-2hatj+hatk and 3hatk-2hatj cuts the plane through the origin and the points 4hatj and 2hati+hatk is

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