Home
Class 12
MATHS
Let vec(a),vec(b),vec(c ) be unit such...

Let ` vec(a),vec(b),vec(c ) ` be unit such that ` hat(a) + hat(b ) + hat(c ) = vec(alpha) ` and ` hat(a).hat(b)=hat(b).hat(c ) =hat(c ). hat(a) = 1/2 `
Magnitude of vector `vec(alpha)` is equal to -

A

3

B

`sqrt(3)`

C

`sqrt(6)`

D

6

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type )|2 Videos

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Matrix Match Type )|2 Videos

  • PROBABILITY

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS|18 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos

Similar Questions

Explore conceptually related problems

If vec (alpha ) = - hat (i) + 2 hat (j) + hat (k) , vec(b) = 3 hat(i) + hat (j) + 2 hat (k) and vec(c ) = 2 hat (i) + hat (j) + 3 hat (k) , find [ vec(c ) vec(a) vec(b)]

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find vec(a) xx vec(b)

Knowledge Check

  • Let vec(a),vec(b),vec(c ) be unit such that hat(a) + hat(b ) + hat(c ) = vec(alpha) and hat(a).hat(b)=hat(b).hat(c ) =hat(c ). hat(a) = 1/2 Which of the following is not a unit vector ?

    A
    `vec(a)-vec(b)`
    B
    `vec(b) - vec(c )`
    C
    `vec(c ) - vec(a )`
    D
    none of these

  • If vec (a)= 2 hat (i) - hat (j) + hat (k) and vec(b) = - hat (i) + 3 hat (j) + 4 hat (k) , then value of vec (a). vec(b) is -

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

  • If vec (a) = 2 hat (i) - hat (j ) and vec (b) = 3 hat (i) - 2 hat (j) + 4 hat (k) , then the value of vec (a) xx vec (b) is -

    A
    ` 4 hat (i) - 8 hat (i) - hat (k)`
    B
    `-4hat(j) - hat (j) + hat(k)`
    C
    `4hat(i) - 8hat(j) + hat (k)`
    D
    `-4hat(i) - 8 hat (j) - hat (k)`

    • Similar Questions

    Explore conceptually related problems

    Let vec ( a) = hat (i) + 4 hat (j) + 2 hat (k), vec (b) = 3 hat(i) - 2 hat (j) - 7 hat (k) and vec (c ) = 2 hat (i) - hat (j) + 4 hat (k) . Find a vector vec (d) which is perpendicular to both vec (a) and vec (b) and vec ( c) . vec(d) = 18

    If vec a.hat i= vec a.( hat i+ hat j)= vec a.( hat i+ hat j+ hat k) , then find the unit vector vec a

    Find vec(c) , when vec(a) xx vec(c) = vec(b) and vec(a).vec(c) =3 where vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(j) - hat(k)

    Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find (vec(a) - 2 vec(b)) xx vec(c)

    The vectors vec(a), vec(b),vec(c ) are of same magnitude and taken pariwise , they contain equal angles. If vec(a) = hat(i) +hat(j) , vec(b) = hat(j) + hat(k) then the vector vec(c ) =

    Home
    Profile