Home
Class 12
MATHS
If vec a\ a n d\ vec b\ a n d\ vec c ...

If ` vec a\ a n d\ vec b\ a n d\ vec c` are mutually perpendicular unit vectors, write the value of `| vec a+ vec b+ vec c|dot`

Promotional Banner

Topper's Solved these Questions

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

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If vec a\ a n d\ vec b are mutually perpendicular unit vectors, write the value of | vec a+ vec b|dot

If vec a , vec b , vec c are mutually perpendicular unit vectors, find |2 vec a+ vec b+ vec c|dot

If vec a ,\ vec b ,\ vec c are three mutually perpendicular unit vectors, then prove that | vec a+ vec b+ vec c|=sqrt(3)

If vec a\ a n d\ vec b are unit vectors then write the value of | vec axx vec b|^2+( vec adot vec b)^2dot

If vec a\ a n d\ vec b are unit vectors then write the value of | vec axx vec b|^2+( vec adot vec b)^2dot

vec aa n d vec b are two unit vectors that are mutually perpendicular. A unit vector that is equally inclined to vec a , vec ba n d vec axx vec b is a. 1/(sqrt(2))( vec a+ vec b+ vec axx vec b) b. 1/2( vec axx vec b+ vec a+ vec b) c. 1/(sqrt(3))( vec a+ vec b+ vec axx vec b) d. 1/3( vec a+ vec b+ vec axx vec b)

If vec a ,\ vec b ,\ vec c are any time mutually perpendicular vectors of equal magnitude a , then | vec a+ vec b+ vec c| is equal to a b. sqrt(2)a c. sqrt(3)a d. 2a e. none of these

Let vec a , vec ba n d vec c be pairwise mutually perpendicular vectors, such that | vec a|=1,| vec b|=2,| vec c|=2. Then find the length of vec a+ vec b+ vec c

If vec a , a n d vec b are unit vectors , then find the greatest value of | vec a+ vec b|+| vec a- vec b|dot

Let vec a , vec b , and vec c are vectors such that | vec a|=3,| vec b|=4 and | vec c|=5, and ( vec a+ vec b) is perpendicular to vec c ,( vec b+ vec c) is perpendicular to vec a and ( vec c+ vec a) is perpendicular to vec bdot Then find the value of | vec a+ vec b+ vec c| .

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Let vec a = a1 hat i + a2 hat j+ a3 hat k;vec b = b1 hat i+ b2 hat j+...

    Text Solution

    |

  2. Statement-I A=2hat(i)+3hat(j)+6hat(k), B=hat(i)+hat(j)-2hat(k) and C=h...

    Text Solution

    |

  3. If vec a\ a n d\ vec b\ a n d\ vec c are mutually perpendicular uni...

    Text Solution

    |

  4. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec ax...

    Text Solution

    |

  5. The number of vectors of unit length perpendicular to vectors vec ...

    Text Solution

    |

  6. For any two vec aa n d vec b ,( vec axx hat i).( vec bxx hat i)+( vec...

    Text Solution

    |

  7. Let vecf(t)=[t] hat i+(t-[t]) hat j+[t+1] hat k , w h e r e[dot] deno...

    Text Solution

    |

  8. If vec a is parallel to vec bxx vec c , then ( vec axx vec b)dot( ve...

    Text Solution

    |

  9. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

    Text Solution

    |

  10. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero ve...

    Text Solution

    |

  11. If |a|=2a n d|b|=3 and adotb=0,t h e n(axx(axx(axx(axxb)))) is equal t...

    Text Solution

    |

  12. If the two diagonals of one its faces are 6 hat i+6 hat ka n d4 hat ...

    Text Solution

    |

  13. The volume of a tetrahedron formed by the coterminous edges vec a ...

    Text Solution

    |

  14. If vec a , vec b , and vec c are three mutually orthogonal unit vector...

    Text Solution

    |

  15. Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec...

    Text Solution

    |

  16. Given vec a=x hat i+y hat j+2 hat k , vec b= hat i- hat j+ hat k , ve...

    Text Solution

    |

  17. vec aa n d vec b are two unit vectors that are mutually perpendicu...

    Text Solution

    |

  18. If vec ra n d vec s are non-zero constant vectors and the scalar ...

    Text Solution

    |

  19. The scalar vec Adot ( ( vec B+ vec C)xx( vec A+ vec B+ vec C)) equal...

    Text Solution

    |

  20. The volume of he parallelepiped whose sides are given by vec O A=2i...

    Text Solution

    |