Home
Class 14
MATHS
What is vector of unit length orthogonal...

What is vector of unit length orthogonal to both the vectors `hat(i) + hat(j) + hat(k) and 2hat(i) + 3hat(j) - hat(k)` ?

A

A. `(-4 hat(i) + 3hat(j) - hat(k))/(sqrt26)`

B

B. `(-4hat(i) + 3hat(j) + hat(k))/(sqrt26)`

C

C. `(-3 hat(i) + 2hat(j) - hat(k))/(sqrt14)`

D

D. `(-3hat(i) + 2hat(j) + hat(k))/(sqrt14)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    PUNEET DOGRA|Exercise Prev Year Questions|134 Videos
  • TRIGONOMETRY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|163 Videos

Similar Questions

Explore conceptually related problems

What is a vector of unit length orthogonal to both the vectors hat(i) + hat(j) + hat(k) and 2 hat(i) + 3 hat(j) - hat(k) ?

A unit vector perpendicular to each of the vectors 2hat(i) - hat(j) + hat(k ) and 3hat(i) - 4hat(i) - hat(k) is

Find a unit vector perpendicular to both the vectors (2hat(i)+3hat(j)+hat(k)) and (hat(i)-hat(j)-2hat(k)) .

Show that the vectors 2hat(i)-hat(j)+hat(k) and hat(i)-3hat(j)-5hat(k) are at right angles.

Projection of the vector 2hat(i) + 3hat(j) + 2hat(k) on the vector hat(i) - 2hat(j) + 3hat(k) is :

What is the locus of the point (x,y) for which the vectors (hat(i) - x hat(j) - 2hat(k)) and (2 hat(i) + hat(j) + y hat(k)) are orthogonal?

What is the value of b such that the scalar product of the vector hat(i) + hat(j) + hat(k) with the unit vector parallel to the sum of the vectors 2hat(i) + 4hat(j)-5hat(k) and b hat(i) + 2hat(j) + 3hat(k) is unity ?

What is the unit vector perpendicular to the following vectors 2 hat(i) + 2 hat(j) - hat(k) and 6 hat(i) - 3 hat(j) + 2 hat(k)

The angle between the vectors (hat i + hat j + hat k) and ( hat i - hat j -hat k) is

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

PUNEET DOGRA-VECTOR-Prev Year Questions
  1. Consider the following for the next two items that follows Let vec(a...

    Text Solution

    |

  2. Simplify:- 4^3 + 5 * 8 + ? = 285

    Text Solution

    |

  3. What is vector of unit length orthogonal to both the vectors hat(i) + ...

    Text Solution

    |

  4. If vec(a), vec(b) and vec(c ) are the position vectors of the vertices...

    Text Solution

    |

  5. What is the area of the parallelogram having diagonals 3hat(i) + hat(j...

    Text Solution

    |

  6. Let hat(a), hat(b) be two unit vectors and 0 be the angle between them...

    Text Solution

    |

  7. Let hat(a), hat(b) be two unit vectors and 0 be the angle between them...

    Text Solution

    |

  8. If the vectors alpha hat(i) + alpha hat(j) + gamma hat(k). hat(i) + ha...

    Text Solution

    |

  9. The area of the square, one of whose diagonals is 3hat(i)+ 4hat(j) is:

    Text Solution

    |

  10. Let ABCD be a parallelogram whose diagonals intersect at P and let O b...

    Text Solution

    |

  11. If vec(b) and vec(c ) are the position vectors of the points B and C r...

    Text Solution

    |

  12. If the position vector vec(a) of the point (5, n) is such that |vec(a)...

    Text Solution

    |

  13. If |vec(a)|=2 and |vec(b)|=3, then |vec(a) xx vec(b)|^(2)+ |vec(a).vec...

    Text Solution

    |

  14. Consider the following inequalities in respect of vector vec(a) and ve...

    Text Solution

    |

  15. If the magnitude of difference of two unit vectors is sqrt3, then the ...

    Text Solution

    |

  16. The vectors vec(a), vec(b), vec(c ) and vec(d) are such that vec(a) xx...

    Text Solution

    |

  17. The adjacent sides AB and AC of a triangle ABC are represented by the ...

    Text Solution

    |

  18. A force F= 3hat(i) + 4hat(j) - 3hat(k) is applied at the point P. whos...

    Text Solution

    |

  19. If |a|=7, |b|=11 and |a+b|=10 sqrt3, then |a-b| is equal to

    Text Solution

    |

  20. Let alpha, beta and gamma be distinct real numbers. The points with po...

    Text Solution

    |