Home
Class 12
MATHS
If vec(a) . hat(i)= vec(a).(hat(i)+ hat(...

If `vec(a) . hat(i)= vec(a).(hat(i)+ hat(j)) = vec(a). ( hat(i) + hat(j) + hat(k)) =1`, then `vec(a)` is equal to

Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|197 Videos
  • SCALAR TRIPLE PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|76 Videos

Similar Questions

Explore conceptually related problems

If vec(a) = hat(i) - 2 hat(j) + 3 hat(k) and vec(b) = 2 hat(i) - 3 hat(j) + 5 hat(k) , then angle between vec(a) and vec(b) is

If vec(a) = 2 hat(i) - hat(j) + hat(k) and vec(b) = hat(i) - 2 hat(j) + hat(k) then projection of vec(b)' on ' vec(a) is

If vec(a) = 2 hat(i) + hat(j) + 2hat(k) and vec(b) = 5hat(i)- 3 hat(j) + hat(k) , then the projection of vec(b) on vec(a) is

If vec(F ) = hat(i) +2 hat(j) + hat(k) and vec(V) = 4hat(i) - hat(j) + 7hat(k) what is vec(F) . vec(v) ?

If vec( a) = hat(i) + hat(j) + p hat(k) and vec( b) = vec( i) + hat(j) + hat(k) then | vec( a) + hat(b) | = | vec( a) |+ | vec( b)| holds for

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

If vec(a) = 2hat(i) + hat(j) - hat(k) and vec(b) = hat(i) - hat(k) , then projection of vec(a) on vec(b) will be :

If vec(a) = hat(i) + hat(j) + hat(k), vec(a).vec(b) =1 and vec(a) xx vec(b) = hat(j)-hat(k) , then the vector vec(b) is

(vec(a). hat(i) )^(2) + ( vec(a).hat(j))^(2) + ( vec(a) . hat(k))^(2) is equal to

If vec(a)=hat(i)-hat(k), vec(b)=xhat(i)+hat(j)+(1-x)hat(k) vec(c)=yhat(i)+xhat(j)+(1+x-y)hat(k) . then vec(a).(vec(b) xx vec (c)) depends on

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If vec a\ a n d\ vec b are unit vectors such that vec axx vec b is ...

    Text Solution

    |

  2. The vector vec a\ a n d\ vec b satisfy the equation 2 vec a+ vec b= ...

    Text Solution

    |

  3. If vec(a) . hat(i)= vec(a).(hat(i)+ hat(j)) = vec(a). ( hat(i) + hat(j...

    Text Solution

    |

  4. If vec a+ vec b+ vec c= vec0,\ vec|a|=3,\ | vec b|=5\ a n d\ | vec c...

    Text Solution

    |

  5. If vec a\ a n d\ vec b be two unit vectors and theta is the angle be...

    Text Solution

    |

  6. The vector cosalpha\ cosbeta hat i+cosalpha\ s inbeta hat j+sinalpha h...

    Text Solution

    |

  7. If the position vectors of P\ a n d\ Q are hat i+3 hat j-7 hat k\ a n...

    Text Solution

    |

  8. If vec a\ a n d\ vec b are unit vectors, then which of the following...

    Text Solution

    |

  9. If the vectors hat(i) - 2x hat(j) + 3 y hat(k) and hat(i) +2x hat(j) ...

    Text Solution

    |

  10. The vector component of vec b perpendicular to vec a is a.( vec bd...

    Text Solution

    |

  11. The length of the longer diagonal of the parallelogram constructed o...

    Text Solution

    |

  12. If vec(a) is a non zero vector of magnitude 'a' and lambda a non zero ...

    Text Solution

    |

  13. If theta is the angle between two vectors vec(a) and vec(b), then vec(...

    Text Solution

    |

  14. The value of x for which the angle between vec a=2x^2 hat i+4x hat ...

    Text Solution

    |

  15. If vec a ,\ vec b ,\ vec c are any time mutually perpendicular vect...

    Text Solution

    |

  16. If the vectors 3 hat i+lambda hat j+ hat k\ a n d\ 2 hat i- hat j+8 ha...

    Text Solution

    |

  17. The projection of the vector hat i+ hat j+ hat k along the vector ...

    Text Solution

    |

  18. The vectors 2 hat i+3 hat j-4 hat k\ a n d\ a hat i=b hat j+c hat k ar...

    Text Solution

    |

  19. If | vec a|=| vec b|,\ t h e n\ ( vec a+ vec b)dot( vec a- vec b)= a....

    Text Solution

    |

  20. If vec a\ a n d\ vec b are unit vectors inclined at an angle theta t...

    Text Solution

    |