Home
Class 12
MATHS
If veca is a nonzero vector of magnitude...

If `veca` is a nonzero vector of magnitude `'a'` and `lambda` a nonzero scalar, then `lambdaveca` is unit vector if:

Text Solution

Verified by Experts

The correct Answer is:
`a=1/(|lamd|)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TYPE - III : TRUE RO FALSE QUESTIONS)|15 Videos
  • VECTOR ALGEBRA

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|102 Videos
  • VECTOR ALGEBRA

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|102 Videos
  • THREE DIMENSIONAL GEOMETRY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS:|56 Videos

Similar Questions

Explore conceptually related problems

If veca is a non-zero vector of magnitude 'a' and 'lambda' is a non-zero scalar, such that |lambdaveca|=1 , then :

If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if λ =1

Knowledge Check

  • If a is a non-zero vector of magnitude V a is a non-zero scalar, then X am is unit vector.

    A
    `lambda=1`
    B
    `lambda=-1`
    C
    `a=|lambda|`
    D
    `a=1/(|lambda|)`
  • Similar Questions

    Explore conceptually related problems

    If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if λ = - 1

    If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if a = |λ|

    If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if a = 1/ |λ|

    If veca is a non-zero vector of modulus a and m is a non-zero scalar, then mveca is a unit vector if

    What is the magnitude of a unit vector ?

    If veca is any vector, then veca*veca is :

    Is torque a scalar or a vector quantity?