Home
Class 12
MATHS
In a tetrahedron OABC, if OA=hat(i), OB=...

In a tetrahedron OABC, if `OA=hat(i), OB=hat(i)+hat(j) and OC=hat(i)+2hat(j)+hat(k)`,if shortest distance between egdes OA and BC is m, then `sqrt(2)m` is equal to …(where O is the origin).

Text Solution

Verified by Experts

The correct Answer is:
`(1)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|9 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|36 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the angle between hat(i)+hat(j)+hat(k) and hat(i)+hat(j)-hat(k) .

Angle between hat(i)-hat(j) and hat(j)-hat(k) is ____________.

Knowledge Check

  • If a=hat(i)+2hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=hat(i)+3hat(j)-hat(k) , then atimes(btimesc) is equal to

    A
    `20hat(i)-3hat(j)+7hat(k)`
    B
    `20hat(i)-3hat(j)-7hat(k)`
    C
    `20hat(i)+3hat(j)-7hat(k)`
    D
    None of these

  • [[hat(i), hat(j), hat(k)]]+[[hat(k), hat(j), hat(i)]]+[[hat(j), hatk, hat(i)]]=

    A
    `1`
    B
    `3`
    C
    `-3`
    D
    `-1`

  • The volume of tetrahedron with vertices -hat(i)+hat(k),2hat(i)-hat(j),hat(i)+2hat(j)+5hat(k),hat(i)+2hat(j)+hat(k) is

    A
    `3//16`
    B
    `16//3`
    C
    `15//2`
    D
    `2//15`

    • Similar Questions

    Explore conceptually related problems

    If a=hat(i)+hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=3hat(i)-hat(k) and c=ma+nb , then m+n is equal to

    If a=hat(i)+hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=3hat(i)-hat(k) and c=ma+nb , then m+n is equal to

    If vector hat(i)+hat(j)+hat(k), hat(i)-hat(j)+hat(k) and 2hat(i)+3hat(j)+lambda hat(k) are coplanar, then lambda is equal to

    If vector hat(i)+hat(j)+hat(k), hat(i)-hat(j)+hat(k) and 2hat(i)+3hat(j)+lambda hat(k) are coplanar, then lambda is equal to

    The angle between the vectors : vec(a)=hat(i)+2hat(j)-3hat(k) and 3hat(i)-hat(j)+2hat(k) is :

    Home
    Profile