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Find the distance of the points (2,3,4) ...

Find the distance of the points (2,3,4) from the plane `vec(R)*(3hat(i)-6hat(j)+2hat(k))=-11`.

Text Solution

Verified by Experts

The correct Answer is:
`15/7` units
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Similar Questions

Explore conceptually related problems

Find the distance of a point (2,5,-3) from the plane vec(R)*(6hat(i)-3hat(j)+2hat(k))=4

Find the image of the point P(3,4,2) in the line vec(r)=-hat(i)+3hat(j)+hat(k)+lamda(hat(i)+3hat(j)-hat(k))

Knowledge Check

  • The distance of the point (3, 4, 5) from the plane vec(r). (2 hat(i) - 5 hat(j) + 3 hat(k)) = 13

    A
    `(8)/(sqrt(38))`
    B
    `(10)/(sqrt(38))`
    C
    `(12)/(sqrt(38))`
    D
    `(14)/(sqrt(38))`

  • Distance of the point (2,5,-3) from the plane vec r.(6hat i-3 hat j+2 hat k)=4 is

    A
    4
    B
    44381
    C
    44390
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Find the vector equation of the line passing through (1,2,3) and parallel to the planes vec(r)*(hat(i)-hat(j)+2hat(k))=5 and vec(r)*(3hat(i)+hat(j)+hat(k))=6 .

    Find the vector equation of the line passing through (1,2,3) and parallel to the planes vec(r)*(hat(i)-hat(j)+2hat(k))=5 and vec(r)*(3hat(i)+hat(j)+hat(k))=6 .

    Find the vector equation of the plane through the intersection of the planes vec(r)*(2hat(i)-2hat(j)+3hat(k))=2,vec(r)*(hat(i)-3hat(j)+2hat(k))=-3 and the point (1,2,3).

    Find the vector equation of the plane through the intersection of the planes vec(r)*(hat(i)+hat(j)+hat(k))=6 and vec(r)*(2hat(i)+3hat(j)+4hat(k))=-5 and the point (1,1,1).

    Find the equation of the plane through the intersection of the planes vec(r)*(2hat(i)+hat(j)+3hat(k))=7 and vec(r)*(2hat(i)+3hat(j)+3hat(k))=9 and passing through the point (2,1,3).

    Find the distance of a point (3,4,5) from the point of intersection of the line vec(r)=3hat(i)+4hat(j)+5hat(k)+lamda(hat(i)+2hat(j)+3hat(k)) and the plane vec(r)*(hat(i)+hat(j)+hat(k))=2

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