Home
Class 11
MATHS
If m (vec2+vecj+veck) is a unit vector t...

If m `(vec2+vecj+veck)` is a unit vector then the value of m is

A

`+-(1)/(sqrt(3))`

B

`+-(1)/(sqrt(5))`

C

`+-(1)/(sqrt(6))`

D

`+-(1)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - B (2 - MARK)|5 Videos
  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - C (3 - MARK)|5 Videos
  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise EXERCISE 8.5|25 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS - SECTION - D|3 Videos

Similar Questions

Explore conceptually related problems

If lambda vec(i) + 2lambda vec(j) + 2 lambda vec(k) is a unit vector then the value of lambda is ……………

If vec a and vec b be two unit vectors such that vec a+ vec b is also a unit vector, then find the angle between vec a and vec b

Knowledge Check

  • If m(veci+vecj+veck) is a unit vector then value of m is:

    A
    `+- sqrt3`
    B
    `+-(1)/(sqrt3)`
    C
    `+-3`
    D
    `+-(1)/(3)`
  • Let the vectors vec a and vec b be such that |veca| = 3 and |vecb| = (sqrt2)/(3) , then vec a xx vec b is a unit vector, if the angle between veca and vec b is

    A
    `(pi)/(6)`
    B
    `(pi)/(4)`
    C
    `(pi)/(3)`
    D
    `(pi)/(2)`
  • Similar Questions

    Explore conceptually related problems

    If vec a, vec b, vec c are unit vectors such that vec a+ vec b+ vec c =0 , find the value of vec a.vec b+ vec b .vec c + vec c. vec a .

    If vec a\ is a non zero vecrtor iof modulus vec a\ a n d\ m is a non zero scalar such that m a is a unit vector, write the value of mdot

    If vec a , vec b ,a n d vec c are there mutually perpendicular unit vectors and vec d is a unit vector which makes equal angles with vec a , vec b ,a n d vec c , the find the value off | vec a+ vec b+ vec c+ vec d|^2dot

    If vec a , a n d vec b are unit vectors , then find the greatest value of | vec a+ vec b|+| vec a- vec b|dot

    (i) If vec a, vec b and vec a + vec b are unit vectors, then prove that the angle between vec a and vec b is (2pi)/(3) (ii) If (2 hat i + hat j - 3 hat k ) and (m hat i + 3 hat j - hat k) are perpendicular to each other , then find m.

    If vec(a)andvec(b) are two unit vectors, then the vectors (vec(a)+vec(b))xx(vec(a)xxvec(b)) is parallel to the vector