Home
Class 12
MATHS
A unit vector perpendicular to the vect...

A unit vector perpendicular to the vector `-bar(i)+2bar(j)+2bar(k)` and making equal angles with x and y- axis can be

A

`pm (1)/(3) (2i+2j-k)`

B

`pm(1)/(3)(i+j-k)`

C

`pm(1)/(3)(2i-2j-k)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE) |20 Videos
  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos
  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS ) |3 Videos
  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

The unit vector perpendicular to both of the vectors 2bar(i)-bar(j)+bar(k) and 3bar(i)+4bar(j)-bar(k) is.

A plane is at distance of 8units from the origin and is perpendicular to the vector 2bar(i)+bar(j)+2bar(k) then the equation of the plane is

The direction ratios of a line which is perpendicular to the two vectors -2bar(i) +3 bar(j) -bar(k) and 4 bar(i) +bar(j) +3 bar(k) is

A vector oflength sqrt(7) which is perpendicul to 2bar(j)-bar(k) and -bar(i)+2bar(j)-3bar(k) and makes obtus angle with y-aixs is

Vector bar(V) is perpendicular to the plane of vectors bar(a)=2i-3j+k and bar(b)=i-2j+3k and satisfy the condition bar(V)*(i+2j-7k)=10. Find |bar(V)|^(2)

If bar(P)=i+j+2k and bar(Q)=3i-2j+k ,the unit vector perpendicular to both bar(P) and bar(Q) is

If bar(a)=bar(i)+bar(j)+bar(k) , bar(b)=bar(i)+2bar(j)+3bar(k) then a unit vector perpendicular to both vectors (bar(a)+bar(b)) and (bar(a)-bar(b)) is

Let vec a be vector parallel to line of intersection of planes P_(1) and P_(2) through origin.If P_(1) is parallel to the vectors 2bar(j)+3bar(k) and 4bar(j)-3bar(k) and P_(2) is parallel to bar(j)-bar(k) and 3bar(I)+3bar(j), then the angle between vec a and 2bar(i)+bar(j)-2bar(k) is :

Let bar(a) and bar(b) be unit vector.If the vectors bar(c)=bar(a)+2bar(b) and bar(d)=5bar(a)-4bar(b) are perpendicular to the each other then angle between bar(a) and bar(b) is

If the vector bar(i)-bar(j)+bar(k) bisects the angle between the vector bar(a) and the vector 4bar(i)+3bar(j) , then the unit vector in the direction of bar(a) is (xbar(i)+ybar(j)+zbar(k)) then x-15y+5z is equal to

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. Let A,B and C be the unit vectors . Suppose that A.B=A.C =0 and the a...

    Text Solution

    |

  2. Let vec(u) = hat(i) + hat(j), vec(v) = hat(i) - hat(j) and vec(w) = h...

    Text Solution

    |

  3. A unit vector perpendicular to the vector -bar(i)+2bar(j)+2bar(k) and...

    Text Solution

    |

  4. The vectors a, b and c are of the same length and taken pairwise, they...

    Text Solution

    |

  5. The vector a, b, c are equal in length and taken pairwise they mak equ...

    Text Solution

    |

  6. The vector r satisfying the conditions that I. it is perrpendicular ...

    Text Solution

    |

  7. The values of lambda for which the angle between the vectors a= lambd...

    Text Solution

    |

  8. If a and b are two unit vectors inclined at an angle 2theta to each ot...

    Text Solution

    |

  9. The vectors (2hati - mhatj+ 3mk) and {(1 + m) hati -2m hatj + hatk} i...

    Text Solution

    |

  10. If the vectors a = (2, log(3)x,lambda) and b = (-3,lambdalog(3) x, log...

    Text Solution

    |

  11. The set of values of lambda for which the vectors vec a=(lambda(log)2...

    Text Solution

    |

  12. The values of x for which the angle between the vectors veca =xhati -...

    Text Solution

    |

  13. The vectors a = 2lambda^(2) i+4lambdaj+k and b=7i-2j+lambdak make an o...

    Text Solution

    |

  14. If unit vectors veca and vecb are inclined at an angle 2 theta such th...

    Text Solution

    |

  15. Lelt two non collinear unit vectors hata and hatb form and acute angle...

    Text Solution

    |

  16. For any vector veca |veca xx hati|^(2) + |veca xx hatj|^(2) + |vec...

    Text Solution

    |

  17. If |a| = |b|, then (a +b). (a-b) is

    Text Solution

    |

  18. A vector a has components 2p and 1 with respect to a rectangular cart...

    Text Solution

    |

  19. Let a =i+j+pk and b=i+j+k, |a+b| =|a| +|b| , holds for

    Text Solution

    |

  20. If x and y are two unit vectors and phi is the angle between them, the...

    Text Solution

    |