Home
Class 12
PHYSICS
What is the value of linear velocity...

What is the value of linear velocity ,
` "If " vec omega = 3 hati - 4 hatj + hatk and vec r = 5 hati - 6 hatj + 6 hatk ?`

A

`6 hati + 2 hatj - 3hatk`

B

`-18 hati - 13 hatj + 2hatk `

C

`4 hati - 13 hatj + 6 hatk`

D

`6 hati - 2hatj + 8 hatk `

Text Solution

Verified by Experts

The correct Answer is:
B
`vec v = vec omega xx vec r |(hati, hatj , hatk),( 3,-4,1),( 5,-6,+6)|`
` = hati (-24 + 6) + hatj (5-18) + hatk (-18 + 20) `
`= -18 hati - 13 hatj + 2hatk `
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCULAR MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP-5|1 Videos

  • CIRCULAR MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP-6|1 Videos

  • CIRCULAR MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP-3|1 Videos

  • ATOMS, MOLECULES AND NUCLEI

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|30 Videos

  • COMMUNICATION SYSTEMS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP -20|10 Videos

Similar Questions

Explore conceptually related problems

What is the value of linear velocity vecv if vecomega = 3hati - 4hatj + hatk and vecr = 5 hati - 6hatj + 6hatk ?

Find the angle between the vectors vec A = hati + hatj + hatk and vec B =-hati - hatj + 2hatk .

Knowledge Check

  • What is the value of linear velocity, if vecomega=3hati-4hatj+hatk and vecr=5hati-6hatj+6hatk ?

    A
    `6hati+2hatj-3hatk`
    B
    `-18hati-13hatj+2hatk`
    C
    `4hati-13hatj+6hatk`
    D
    `6hati-2hatj+8hatk`

  • The vector vec c , directed along the internal bisector of the angle between the vectors vec a = 7 hati - 4 hatj - 4hatk and vecb = -2hati - hatj + 2 hatk " with " |vec c| = 5 sqrt(6), is

    A
    `(5)/(3)(hati -7hatj + 2hatk)`
    B
    `(5)/(3)(5hati +5hatj + 2hatk)`
    C
    `(5)/(3)(hati +7hatj + 2hatk)`
    D
    `(5)/(3)(-5hati +5hatj + 2hatk)`

  • If vec r = 3 hati + 2 hatj - 5 hatk , vec a= 2 hati - hatj + hatk, vec b = hati + 3 hatj - 2hatk and vec c=2 hati + hatj - 3 hatk " such that " hat r = x vec a +y vec b + z vec c then

    A
    x, y, z are in AP
    B
    x, y, z are in GP
    C
    x, y, z are in HP
    D
    `y, (x)/(2), z ` are in AP

    • Similar Questions

    Explore conceptually related problems

    Find the angle between the following pairs of lines : (i) vec(r) = 2 hati - 5 hatj + hatk + lambda (3 hati + 2 hatj + 6 hatk ) and vec(r) = 7 hati - 6 hatk + mu (hati + 2 hatj + 2 hatk) (ii) vec(r) = 3 hati + hatj - 2 hatk + lambda (hati - hatj - 2 hatk ) and vec(r) = 2 hati - hatj - 56 hatk + mu (3 hati - 5 hatj - 4 hatk) .

    Show that the lines : vec(r) = 3 hati + 2 hatj - 4 hatk + lambda (hati + 2 hatj + 2 hatk) and vec(r) = 5 hati - 2 hatj + mu (3 hati + 2 hatj + 6 hatk) (ii) vec(r) = (hati + hatj - hatk) + lambda (3 hati - hatj) . and vec(r) = (4 hati - hatk) + mu (2 hati + 3 hatk) are intersecting. Hence, find their point of intersection.

    Find the angle between the vectors vec(A) = 2 hati - 4hatj +6 hatk and vec(B) = 3 hati + hatj +2hatk .

    Find the shortest distance between the lines whose vector equations are : vec(r) = (hati + 2 hatj + 3 hatk ) + lambda (hati -3 hatj + 2 hatk) and vec(r) = 4 hati + 5 hatj + 6 hatk + mu (2 hati + 3 hatj + hatk) .

    Find the vector and cartesian equations of the plane containing the lines : vec(r) = hati + 2 hatj - 4 hatk + lambda (2 hati + 3 hatj + 6 hatk) and vec(r) = 3 hati + 3 hatj - 5 hatk + mu (-2 hatj + 3 hatj + 8 hatk) .

    Home
    Profile