Home
Class 12
MATHS
A vector(d) is equally inclined to three...

A vector(d) is equally inclined to three vectors `a=hat(i)-hat(j)+hat(k), b=2hat(i)+hat(j) and c=3hat(j)-2hat(k)`. Let x, y, z be three vectors in the plane a, b:b, c:c, a respectively, then

A

`x*d=14`

B

`y*d=3`

C

`z*d=0`

D

`r*d=0,` where `r=lambdax+muy+deltaz`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|21 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|73 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

A vector equally inclined to the vectors hat(i)-hat(j)+hat(k) and hat(i)+hat(j)-hat(k) then the plane containing them is

The two vectors A=2hat(i)+hat(j)+3hat(k) and B=7hat(i)-5hat(j)-3hat(k) are :-

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

If a=hat(i)+2hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=hat(i)+3hat(j)-hat(k) , then atimes(btimesc) is equal to

Find a unit vector perpendicular to the plane of two vectors a=hat(i)-hat(j)+2hat(k) and b=2hat(i)+3hat(j)-hat(k) .

If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+hat(j)+chat(k) , where a, b, c are coplanar, then a+b+c-abc=

Given p=3hat(i)+2hat(j)+4hat(k), a=hat(i)+hat(j), b=hat(j)+hat(k), c=hat(i)+hat(k) and p=x a +y b +z c , then x, y and z are respectively

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
  1. Let a, b and c be non-zero vectors and |a|=1 and r is a non-zero vecto...

    Text Solution

    |

  2. If veca and vecb are two unit vectors perpendicular to each other and...

    Text Solution

    |

  3. Given three non-coplanar vectors OA=a, OB=b, OC=c. Let S be the centre...

    Text Solution

    |

  4. If a=hat(i)+hat(j)+hat(k) and b=hat(i)-hat(j), then the vectors (a*hat...

    Text Solution

    |

  5. If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat ka n d...

    Text Solution

    |

  6. If veca, vecb, vecc are three non-zero vectors, then which of the foll...

    Text Solution

    |

  7. Let the unit vectors a and b be perpendicular and the unit vector c be...

    Text Solution

    |

  8. If veca, vecb, vecc are three non-zero vectors, then which of the foll...

    Text Solution

    |

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

    Text Solution

    |

  10. If veca and vecb are any two unit vectors, then find the greatest post...

    Text Solution

    |

  11. If vec a is perpendicular to vec b and vec r is non-zero vector suc...

    Text Solution

    |

  12. In a four-dimensional space where unit vectors along the axes are ...

    Text Solution

    |

  13. A vector(d) is equally inclined to three vectors a=hat(i)-hat(j)+hat(k...

    Text Solution

    |

  14. If a, b, c are non-zero, non-collinear vectors such that a vectors suc...

    Text Solution

    |

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

    Text Solution

    |

  16. If r=hat(i)+hat(j)+lambda(2hat(i)+hat(j)+4hat(k)) and r*(hat(i)+2hat(j...

    Text Solution

    |

  17. If vectors veca and vecb are two adjacent sides of parallelograsm then...

    Text Solution

    |

  18. Let a, b, c be three vectors such that each of them are non-collinear,...

    Text Solution

    |

  19. If a, b and c are non-collinear unit vectors also b, c are non-colline...

    Text Solution

    |

  20. If a=(1)/(7)(2hat(i)+3hat(j)+6hat(k)): b=(1)/(7)(6hat(i)+2hat(j)-3hat...

    Text Solution

    |