Home
Class 12
MATHS
If vec a is a non zero vector a magnitu...

If ` vec a` is a non zero vector a magnitude `' a^(prime)\ a n d\ lambda` is a non a zero scalar, then `lambda\ vec a` is a unit vector if `lambda=1` b. `lambda=-1` c. `a-|lambda|` d. `a=1/(|lambda|)`

A

`lambda = 1`

B

`lambda = -1`

C

`a=|lambda|`

D

`a=1//|lambda|`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.4)|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.5)|7 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.2)|19 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

If vec a is a non zero vector a magnitude a' and lambda is a non a zero scalar,then lambdavec a is a unit vector if lambda=1 b.lambda=-1 c.a-| lambda| d.a=(1)/(| lambda|)

If vec a is a nonzero vector of magnitude a and lambda a nonzero scalar,then lambdavec a is unit vector if (A)lambda=1(B)lambda=,-1(C)a=quad | lambda| (D) a=(1)/(| lambda|)

If vec(a) is a non-zero vector of modulus a and lamda is a non-zero scalar and lamda vec(a) is a unit vector, then

If a, b and c are non-coplanar vectors and d=lambdaa+mub+nuc , then lambda is equal to

If A=[[8,-6,2-6,7,-42,-4,3]] and X is a non zero column matrix such that AX=lambda X, where lambda is a scalar,then value of lambda can be

If a,b,c are non coplanner vectors and lambda is a real no.then the vector a +2b+3c,lambda b+4c and (2 lambda-1) c are non coplanner for:-

If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists if lambda!=1 (b) lambda!=2 (c) lambda!=-1 (d) lambda!=0

If the points A(lambda, 2lambda), B(3lambda,3lambda) and C(3,1) are collinear, then lambda=

If A,B and are collinear find lambda non-collinear such that vec c=(lambda-2)vec a+vec b and vec d=(2 lambda+1)vec a-vec b,vec c and vec d are collinear find lambda

MODERN PUBLICATION-VECTOR ALGEBRA -Ncert File Question from Ncert Book (Exercise 10.3)
  1. Find the angle between two vectors veca and vecb with magnitudes sqrt(...

    Text Solution

    |

  2. Find the angle between the vectors hat i-2 hat j+3 hat ka n d3 hat...

    Text Solution

    |

  3. Find the projection of the vector hat i- hat jon the vector hat i+ ...

    Text Solution

    |

  4. Find the projection of the vector hat i+3 hat j+7 hat kon the vector...

    Text Solution

    |

  5. Show that each of the given three vectors is a unit vector: 1/7(2 hat...

    Text Solution

    |

  6. find |veca|,|vecb| if (veca+vecb).(veca-vecb)=8 and |veca|=8|vecb|

    Text Solution

    |

  7. Evaluate the product (3vec(a)-5vec(b)).(2vec(a)+7vec(b)).

    Text Solution

    |

  8. Find the magnitude of two vectors vec a\ a n d\ vec b having the sam...

    Text Solution

    |

  9. Find |vec(x)|, if for a unit vector vec(a), (vec(x)-vec(a)).(vec(x)+ve...

    Text Solution

    |

  10. If vectors veca = 2hati + 2hatj +3hatk,vec b=-hati+2hatj+hatk and vec ...

    Text Solution

    |

  11. Show that |vec(a)|vec(b)+|vec(b)|vec(a) is perpendicular to |vec(a)|v...

    Text Solution

    |

  12. If vec a\ dot\ vec a=0 and vec a\ dot\ vec b=0, then what can be c...

    Text Solution

    |

  13. If vec a ,\ vec b ,\ vec c are unit vectors such that vec a+ vec b...

    Text Solution

    |

  14. If either vec a= vec0\ or\ vec b= vec0\ t h e n\ vec adot vec b= ve...

    Text Solution

    |

  15. If the vertices A,B,C of a triangle ABC are (1,2,3),(-1,0,0) ,(0,1,2) ...

    Text Solution

    |

  16. Show that the points A(1, 2, 7), B(2, 6, 3) and C(3, 10 , 1)are colli...

    Text Solution

    |

  17. Show that the points, A, B and C having position vectors (2hat(i)-hat(...

    Text Solution

    |

  18. If vec a is a non zero vector a magnitude ' a^(prime)\ a n d\ lambda ...

    Text Solution

    |