Home
Class 12
MATHS
Let veca and vecb be two non- zero perpe...

Let `veca and vecb` be two non- zero perpendicular vectors. A vector `vecr` satisfying the equation `vecr xx vecb = veca ` can be
a .`b-(atimesb)/(|b|^(2))`
b. `2b-(atimesb)/(|b|^(2))`
c. `|a|b-(atimesb)/(|b|^(2))`
d. `|b|b-(atimesb)/(|b|^(2))`

A

`vecb=frac{vecaxxvecb}{|vecb|^2}`

B

`2vecb=frac{vecaxxvecb}{|vecb|^2}`

C

`|veca|vecb=frac{vecaxxvecb}{|vecb|^2}`

D

`|vecb|vecb=frac{vecaxxvecb}{|vecb|^2}`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|768 Videos

Similar Questions

Explore conceptually related problems

veca xx (vec b xx vecc) is perpendicular to which vectors:

If vec A=(1,1,1) , vec C=(0,1,-1) are two given vectors, then find a vector vec B satisfying the equations vec A xx vec B=vec C and vec A * vec B=3 .

If a and b are two non-zero and non-collinear vectors then a+b and a-b are

If vec a and vec b are proper vectors such that vec b= λ veca for some real λ then vec a and vec b are

If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=(veca-vecb)^(2)

Show that |vec a|vec b + |vec b|vec a perpendicular to |vec a|vec b - |vec b|vec a , for any two non-zero vectors vec a and vec b .

Let veca =hatj-hatk and vecc =hati-hatj-hatk . Then the vector b satisfying veca ×vecb+vecc =0 and veca.vecb = 3, is

Let a and b be given non-zero and non-collinear vectors, such that ctimesa=b-c . Express c in terms for a, b and aXb.

If a and b are two unit vectors such that a+2b and 5a−4b are perpendicular to each other, then the angle between a and b is

MODERN PUBLICATION-EXCLUSIVELY FOR JEE(ADVANCED)-EXERCISE
  1. Let alpha=ahati+bhatj+chatk,beta=bhati+chatj+ahatk and gamma=chati+aha...

    Text Solution

    |

  2. If veca= x hati+yhatj+zhatk, vecb= yhati+zhatj+xhatk, vecc=zhati+xhatj...

    Text Solution

    |

  3. Let veca and vecb be two non- zero perpendicular vectors. A vector vec...

    Text Solution

    |

  4. Let a plane pass through orogin and is parallel to the line: (x-1)/2=(...

    Text Solution

    |

  5. A non-zero vectors a is parallel to the line of intersection of the pl...

    Text Solution

    |

  6. For two events A and B, let P(A)=3/5, P(B)=2/3, then which of the foll...

    Text Solution

    |

  7. If A and B are two events such that P(B)ne1, B^c denotes the event com...

    Text Solution

    |

  8. Suppose that vecp, vecq and vecr are three non-coplanar vectors in R^3...

    Text Solution

    |

  9. Let veca,vecb and vecc be three non-coplanar unit vectors such that th...

    Text Solution

    |

  10. The square of the shortest distance between the lines : vecr=s(hati-ha...

    Text Solution

    |

  11. Write the set A={x:x is an integer,−1≤x≤4} in roster form.

    Text Solution

    |

  12. If |veca|=3, |vecb|=1 and |veca+vecb|=|veca-vecb|, then |veca xx vecb|...

    Text Solution

    |

  13. If |veca|=|vecb|=|vecc|=1 and veca*vecb=vecb*vecc=vecc*veca=1/2, then ...

    Text Solution

    |

  14. Consider the lines : L1: (x-7)/3=(y-7)/2=(z-3)/1 and L2: (x-1)/2=(y+1)...

    Text Solution

    |

  15. Value of lambda so that the planes: x-y+z+1=0, lambdax+3y+2z-3=0, 3x+l...

    Text Solution

    |

  16. If A and B are two events of an expeiment with P(A)=1/4, P(AuuB)=1/2, ...

    Text Solution

    |

  17. One function is selected at random from all functions of the set S={1,...

    Text Solution

    |

  18. Football teams T1 and T2 have to play two games against each other. It...

    Text Solution

    |

  19. Football teams T1 and T2 have to play two games against each other. It...

    Text Solution

    |

  20. Find the S.D. between the lines : (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/-...

    Text Solution

    |