Home
Class 12
MATHS
Let vec a , vec b a n d vec c be three ...

Let ` vec a , vec b a n d vec c` be three vectors having magnitudes 1, 5and 3, respectively, such that the angel between ` vec aa n d vec bi stheta` and ` vec axx( vec axx vec b)=c` . Then `t a ntheta` is equal to a. 0 b. 2/3 c. 3/5 d. 3/4

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos

  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If vec aa n d vec b are two vectors of magnitude 1 inclined at 120^0 , then find the angle between vec ba n d vec b- vec adot

If vec a , vec b , vec c are unit vectors such that vec a. vec b=0= vec a. vec c and the angle between vec b and vec c is pi/3, then find the value of | vec axx vec b- vec axx vec c| .

If the angel between unit vectors vec aa n d vec b60^0 , then find the value of | vec a- vec b|dot

If vec a\ a n d\ vec b are two vectors such that | vec axx vec b|=sqrt3\ a n d\ vec adot vec b=1, find the angle between vec a\ a n d\ vec b .

If vec (a), vec(b) and vec ( c) are three vectors of magnitude 3,4 and 5 respectively such that each vector is perpendicular to the sum of the other two vectors , prove that | vec (a) + vec(b) + vec (c ) | = 5 sqrt (2)

If vec aa n d vec b are two unit vectors incline at angle pi//3 , then { vec axx( vec b+ vec axx vec b)}dot vec b is equal to (-3)/4 b. 1/4 c. 3/4 d. 1/2

vec a , vec b , and vec c are three vectors of equal magnitude. The angle between each pair of vectors is pi//3 such that | vec a+ vec b+ vec c|=sqrt6. Then | vec a| is equal to a. 2 b. -1 c. 1 d. sqrt(6)//3

If vec a and vec b are any two vectors of magnitudes 2 and 3, respectively, such that |2( vec axx vec b)|+|3( vec a. vec b)|=k , then the maximum value of k is a. sqrt(13) b. 2sqrt(13) c. 6sqrt(13) d. 10sqrt(13)

If vec a,vec b, vec c be three vectors such that vec a+vec b+vec c=0 , |veca|=3 , |vecb|=5 and |vecc|=7 find the angle between the vectors veca and vec b .

If vec aa n d vec b are any two vectors of magnitudes 1 and 2, respectively, and (1-3 vec a . vec b)^2+|2 vec a+ vec b+3( vec axx vec b)|^2=47 , then the angel between vec aa n d vec b is pi//3 b. pi-cos^(-1)(1//4) c. (2pi)/3 d. cos^(-1)(1//4)

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If vec x , vec y are two non-zero and non-collinear vectors satisfy...

    Text Solution

    |

  2. Let vec a=alpha hat i+2 hat j-3 hat k , vec b=alpha hat i+2alpha hat ...

    Text Solution

    |

  3. Let vec a , vec b a n d vec c be three vectors having magnitudes 1...

    Text Solution

    |

  4. Two vectors in space are equal only if they have equal component in ...

    Text Solution

    |

  5. Let vec a= hat i- hat j , vec b= hat j- hat ka n d vec c= hat k- hat ...

    Text Solution

    |

  6. If vectors vec aa n d vec b are two adjacent sides of a parallelogr...

    Text Solution

    |

  7. If vec axx( vec bxx vec c) is perpendicular to ( vec axx vec b)xx vec...

    Text Solution

    |

  8. [(vecaxxvecb) (veccxxvecd) (vecexxvecf)]is equal to (a)[vecavecbvec...

    Text Solution

    |

  9. vec a, vec ba n d vec c are non-collinear if vec axx( vec bxx vec c)+...

    Text Solution

    |

  10. If veca and vecb are unit vectors, then angle between veca ...

    Text Solution

    |

  11. If vec a| vec b , then vector vec v in terms of vec aa n d vec b sa...

    Text Solution

    |

  12. If vec a^'= hat i+ hat j , vec b^'= hat i- hat j+2 hat k and vec c^' ...

    Text Solution

    |

  13. If vec a= hat i+ hat j , vec b= hat j+ hat k , vec c= hat k+ hat i , ...

    Text Solution

    |

  14. If unit vectors vec a and vec b are inclined at angle 2theta such t...

    Text Solution

    |

  15. Let vec a , vec ba n d vec c be three non-coplanar vectors and ve...

    Text Solution

    |

  16. Let vec a=a1 hat i+a2 hat j+a3 hat k , vec b=b1 hat i+b2 hat j+b3 hat...

    Text Solution

    |

  17. A ,B ,Ca n dD are four points such that vec A B=m(2 hat i-6 hat j+2 h...

    Text Solution

    |

  18. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

    Text Solution

    |

  19. If hat a , hat b ,a n d hat c are unit vectors, then | hat a-hat b|^2...

    Text Solution

    |

  20. Which of the following expressions are meaningful? a. vec u.(vec vx...

    Text Solution

    |