Home
Class 12
MATHS
If absvec(a)=absvec(b)=1" such that "vec...

If `absvec(a)=absvec(b)=1" such that "vec(a)+2vec(b)and5vec(a)-4vec(b)` are perpendicular to each other, then the angle between `vec(a)andvec(b)` is

A

`45^(@)`

B

`60^(@)`

C

`cos^(-1)""(1)/(3)`

D

`cos^(-1)""(2)/(7)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( II. Fill in the blanks : )|15 Videos
  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( III. Choose the odd man out : )|5 Videos
  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise EXERCISE 6.10 (Choose the Correct or the most suitable answer from the given four alternative : )|25 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|35 Videos
  • COMPLEX NUMBERS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (5 MARKS )|6 Videos

Similar Questions

Explore conceptually related problems

If vec a and vec b are two unit vectors such that vec a+ vec b and vec a−2 vec b are perpendicular to each other, then the angle between vec a and vec b is

If vec(a)andvec(b) are unit vectors such that [vec(a),vec(b),vec(a)xxvec(b)]=(pi)/(4)," then the angle between "vec(a)andvec(b)" is "

If vec(a)=absvec(a)vec(e)" then "vec(e).vec(e) is

If vec(a),vec(b),vec(c) are three non-coplanar vectors such that vec(a)xx(vec(b)xxvec(c))=(b+c)/(sqrt(2)), then the angle between vec(a)andvec(b)" is "

Let veca,vecb,vecc be three non-zero vectors such that vec(c) is a unit vector perpendicular to both vec(a)andvec(c). If the angle between vec(a)andvec(c)" is "(pi)/(6)," show that "[vec(a),vec(b),vec(c)]^(2)=(1)/(4)absvec(a)^(2)absvec(b)^(2).

If |vec(a)xxvec(b)|=vec(a).vec(b), then angle between the vector vec(a)andvec(b) is ……………..

If vec(A) and vec(B) are perpendicular then vec(A) . vec(B)= . . . .

If vec a and vec b are non - zero vectors and |vec a+ vec b| = |vec a - vec b| , then the angle between vec a and vec b is

vec(a),vec(b)andvec(c) are said to be colpanar if

SURA PUBLICATION-APPLICATIONS OF VECTORA ALGEBRA-ADDITIONAL QUESTIONS ( Choose the Correct or the most suitable answer from the given four alternatives : )
  1. The area of the parallelogram having diagonals vec(a)=3hat(i)+hat(j)-2...

    Text Solution

    |

  2. If vec(a),vec(b)andvec(c) are any three vectors, then vec(a)xx(vec(b)x...

    Text Solution

    |

  3. The volume of the parallelepiped whose sides are given by bar(OA)=2hat...

    Text Solution

    |

  4. If absvec(a)=absvec(b)=1" such that "vec(a)+2vec(b)and5vec(a)-4vec(b) ...

    Text Solution

    |

  5. The angle between the vector 3hat(i)+4hat(j)+5hat(k) and the z-axis is

    Text Solution

    |

  6. A vector vec(OP) makes 60^(@) and 45^(@) with the positive direction o...

    Text Solution

    |

  7. If vec(a)=hat(i)+2hat(j)+3hat(k),vec(b)=-hat(i)+2hat(j)+hat(k),vec(c)=...

    Text Solution

    |

  8. If theta is the between the vector vec(a)andvec(b)," then " sintheta i...

    Text Solution

    |

  9. If the vectors hat(i)+hat(j)+2hat(k),-hat(i)+2hat(k)and2hat(i)+xhat(j)...

    Text Solution

    |

  10. If vec(a)=absvec(a)vec(e)" then "vec(e).vec(e) is

    Text Solution

    |

  11. The value of |vec(a)+vec(b)|^(2)+|vec(a)-vec(b)|^(2) is

    Text Solution

    |

  12. If vec(p)xxvec(q)=2hat(i)+3hat(j),vec(r)xxvec(s)=3hat(j)+2hat(k)," the...

    Text Solution

    |

  13. If the work done by a force bar(F)=hat(i)+mhat(j)+hat(k) in moving the...

    Text Solution

    |

  14. The two planes 3x + 3y - 3z - 1 = 0 and x + y - z + 5 = 0 are

    Text Solution

    |

  15. The straight lines (x-3)/(2)=(y+5)/(4)=(z-1)/(-13)and(x+1)/(3)=(y-4)/(...

    Text Solution

    |

  16. For what value of (vec(a)) will the straight lines (x+2)/(2)=(y)/(-3)=...

    Text Solution

    |

  17. If [vec(a),vec(b),vec(c)]=3andabsvec(c)=1" then "|(vec(b)xxvec(c))xx(v...

    Text Solution

    |

  18. If lambdahati+2lambdahatj+2lambdahatk is a unit vector,then the value ...

    Text Solution

    |

  19. For any three vectors vec(a),vec(b)andvec(c),(vec(a)+vec(b)).(vec(b)+v...

    Text Solution

    |

  20. If the vector ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k)andhat(i)+ha...

    Text Solution

    |