Home
Class 12
MATHS
If vec a\ is a non zero vecrtor iof mo...

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`

A

`m = pm 1 `

B

`a = |m|`

C

`a = 1//|m|`

D

`a = 1/m`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise Exercise (Multiple)|13 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise Exercise (Reasoning Questions)|11 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise Exercise (Subjective)|14 Videos
  • INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|222 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise All Questions|529 Videos

Similar Questions

Explore conceptually related problems

If veca is a non zero vector of magnitude 'a' and lambda a nonzero scalar, then lambda vec a is unit vector if

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

If vec c is a given non-zero scalar, and vec Aa n d vec B are given non-zero vector such that vec A_|_B , then find vector vec X which satisfies the equation vec A . vec X =c and vec Axx vec X= vec Bdot

If vec a and vec b are two non -zero vectors, then (vec a + vec b) .(vec a - vec b) is equal to

If vec a and vec b are non - zero vectors and |vec a+ vec b| = |vec a - vec b| , then the angle between vec a and vec b is

If vec ra n d vec s are non-zero constant vectors and the scalar b is chosen such that | vec r+b vec s| is minimum, then the value of |b vec s|^2+| vec r+b vec s|^2 is equal to a. 2| vec r|^2 b. | vec r|^2//2 c. 3| vec r""|^2 d. |r|^2

If c is a given non - zero scalar, and vecA and vecB are given non- zero , vectors such that vecA bot vecB . Then find vector, vecX which satisfies the equations vecA.vecX =c and vecA xx vecX =vecB .

For any non-zero vectors vec(a)andvec(b)vec(a)xxvec(b) is

If vec a and vec b are two non- zero vectors such that | vec a + vec b| = |vec a - vec b| , then show that vec a and vec b are perpendicular.

If vec a , vec ba n d vec c are non coplanar vectors and vec axx vec c is perpendicular to vec axx( vec bxx vec c), then the value of [axx( vec bxx vec c)]xx vec c is equal to a. [ vec a vec b vec c] b. 2[ vec a vec b vec c] vec b c. vec0 d. [ vec a vec b vec c] vec a

CENGAGE-INTRODUCTION TO VECTORS -Exercise (Single)
  1. A point O is the centre of a circle circunscribed about a triangle ABC...

    Text Solution

    |

  2. If G is the centroid of a triangle ABC, prove that vec(GA)+vec(GB)+vec...

    Text Solution

    |

  3. If vec a\ is a non zero vecrtor iof modulus vec a\ a n d\ m is a no...

    Text Solution

    |

  4. ABCD a parallelogram, and A1 and B1 are the midpoints of sides BC and ...

    Text Solution

    |

  5. The position vectors of the points Pa n dQ with respect to the orig...

    Text Solution

    |

  6. A B C D is a quadrilateral. E is the point of intersection of th...

    Text Solution

    |

  7. The vector vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are sides...

    Text Solution

    |

  8. A, B, C and D have position vectors veca, vecb, vecc and vecd, repecti...

    Text Solution

    |

  9. If veca and vecb are two unit vectors and theta is the angle between t...

    Text Solution

    |

  10. let us define , the length of a vector as |a| + |b| +|c| . this defini...

    Text Solution

    |

  11. Given three vectors veca=6hati-3hatj,vecb=2hati-6hatj and vecc=-2hati+...

    Text Solution

    |

  12. If vecalpha+ vecbeta+ vecgamma=a vecdeltaa n d vecbeta+ vecgamma+ vec...

    Text Solution

    |

  13. In triangle A B C ,/A=30^0,H is the orthocenter and D is the midpoint ...

    Text Solution

    |

  14. If P(not E) = 0.25, what is the probability of E?

    Text Solution

    |

  15. Given three non-zero, non-coplanar vectors veca, vecb and vecc. vecr1=...

    Text Solution

    |

  16. If the vectors vec a and vec bare linearly independent and satisfying ...

    Text Solution

    |

  17. In a trapezium, vector vec B C=alpha vec A Ddot We will then find tha...

    Text Solution

    |

  18. Vectors veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3ha...

    Text Solution

    |

  19. Vectors vec a=-4 hat i+3 hat k ; vec b=14 hat i+2 hat j-5 hat k are l...

    Text Solution

    |

  20. If hati-3hatj+5hatk bisects the angle between hata and -hati+2hatj+2ha...

    Text Solution

    |