Home
Class 12
MATHS
The unit vector in XOZ plane and making ...

The unit vector in `XOZ` plane and making angles `45^@` and `60^@` respectively with `vec(a)=2i+2j-k` and `vecb=0i+j-k`, is

A

`1/sqrt(2)(-i+k)`

B

`1/sqrt(2)(i-k)`

C

`-1/sqrt(2)(i+k)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS|65 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Level-1 Single Correct Answer Type Questions)|33 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

The unit vector in XOZ plane and making angles 45^(@) and 60^(@) respectively with vec a=2i+2j-k and vec b=0i+j-k, is

Find a unit vector in XY plane,which makes an angle of 45^(@) with the vector hat i+hat j and an angle of 60^(@) with the vector 3hat i4hat j

Find vec a unit vector perpendicular to each of the vectors vec a=3i+2j-3k and vec b=i+j-k

" The angle between the vectors "2i+j-3k" and "3i-2j-k" is "

Write a unit vector in the direction of the sum of the vectors vec a=2hat i+2hat j-5hat k and vec b=2hat i+hat j-7hat k

The angle between the vectors i-j+k and -i+j+2k is

Find the unit vector in the direction of vec a+vec b,quad if quad vec a=2hat i-hat j+2hat k and vec b=-hat i+hat j-hat k

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-EXERCISE (Level-2 Single Correct Answer Type Questions)
  1. The point of intersection of the lines r times a=b times a, r times b=...

    Text Solution

    |

  2. If a=a(1)i+a(2)j+a(3)k, b=b(1)i+b(2)j+b(3)k, c=c(1)i+c(2)j+c(3)k, d=d(...

    Text Solution

    |

  3. The value of (b times c)*(a times d)+(c times a)*(b times d)+(a times ...

    Text Solution

    |

  4. The lines r=b-2c+lambda(a+b)" and "r=2b-c+mu(b+c) intersect at the poi...

    Text Solution

    |

  5. If a=i+2j-3k, b=2i+j-k then the vector v satisfying a times v=a times ...

    Text Solution

    |

  6. The value of abs(a times(i timesj))^(2)+abs(a times(j timesk))^(2)+a...

    Text Solution

    |

  7. The locus of a point equidistant from two points with position vectors...

    Text Solution

    |

  8. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

    Text Solution

    |

  9. If a times b=c" and "b times c=a, then

    Text Solution

    |

  10. Let OABC be a regular tetrahedron, then angle between edges OA and BC ...

    Text Solution

    |

  11. Let veca=a(1)hati+a(2)hatj+a(3)hatk, vecb=b(1)hati+b(2)hatj+b(3)hatk a...

    Text Solution

    |

  12. The vector vec a has the components 2p and 1 w.r.t. a rectangular ...

    Text Solution

    |

  13. a*((b times c) times (a+(b times c)) is equal to

    Text Solution

    |

  14. If overset(to)(X) "." overset(to)(A) =0, overset(to)(X) "." overset(...

    Text Solution

    |

  15. Given the vectors a=3i-j+5k" and "b=i+2j-3k. A vector c which is perp...

    Text Solution

    |

  16. The unit vector in XOZ plane and making angles 45^@ and 60^@ respectiv...

    Text Solution

    |

  17. If vector vec a+ vec b bisects the angle between vec a and vec b , ...

    Text Solution

    |

  18. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  19. A B C D is quadrilateral such that vec A B= vec b , vec A D= vec d , ...

    Text Solution

    |

  20. If vecu=veca-vecb,vecv=veca+vecb and |veca|=|vecb|=2, then |vecuxxvecv...

    Text Solution

    |