Home
Class 12
MATHS
If vec(a), vec(b) and vec(c) are three m...

If `vec(a), vec(b)` and `vec(c)` are three mutually perpendicular vectors of equal magnitude, then find the angle between `vec(a)` and `(vec(a) + vec(b) + vec(c))`.

Text Solution

Verified by Experts

The correct Answer is:
`"cos"^(-1)((1)/(sqrt(3)))`
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos

  • VERY SIMILAR TEST 6

    ARIHANT PRAKASHAN|Exercise SECTION C ANSWER ANY ONE QUESTIONS|11 Videos

  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section C|25 Videos

Similar Questions

Explore conceptually related problems

If vec a , vec b , vec c are mutually perpendicular vectors of equal magnitude show that vec a+vec b+vec c is equally inclined to vec a , vec b , vec c .

If vec(a), vec(b) and vec(c) are three vectors such that vec(a) + vec(b) + vec(c) = vec(0) , then prove that vec(a) xx vec(b) = vec(b) xx vec(c) = vec(c) xx vec(a) .

ARIHANT PRAKASHAN-VERY SIMILAR TEST 7-Section B (60 MARKS)
  1. By computing shortest distance, determine whether the following pair o...

    Text Solution

    |

  2. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

    Text Solution

    |

  3. If vec(a), vec(b) and vec(c) are three mutually perpendicular vectors...

    Text Solution

    |

  4. If vec(a),vec(b)" and "vec(c) are three vectors, such that vec(a)+vec(...

    Text Solution

    |

  5. If hat(a), hat(b), hat(c) are unit vectors and hat(a) xx (hat(b) xx ha...

    Text Solution

    |

  6. Evaluate "tan"("sin"^(-1)3/(5)+"cot"^(-1)3/(2)).

    Text Solution

    |

  7. One kind of cake requires 200 g of flour and 25 g of fat and another k...

    Text Solution

    |

  8. Let * be a binary operation on Q defined by a**b=ab+1. Determine wheth...

    Text Solution

    |

  9. Let A = R-{2} and B = R - {1}. If f : A rarr B is a function defined b...

    Text Solution

    |

  10. Prove that following cot^(-1)((xy+1)/(x-y)) +cot^(-1)((yz+1)/(y-z))+...

    Text Solution

    |

  11. There are 25 tickets bearing numbers from 1 to 25. One ticket is drawn...

    Text Solution

    |

  12. IF A=[(1,tanx),(-tanx,1):}] then show that A^TA^-1=[(cos2x,-sin2x),(s...

    Text Solution

    |

  13. Show that the following systems of linear equations is consistent and ...

    Text Solution

    |

  14. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

    Text Solution

    |

  15. Find the probability distribution of number of doublets in four throws...

    Text Solution

    |

  16. Find the equasion of the tangents drawn from the point (1,2) to the cu...

    Text Solution

    |

  17. Find the intervals in which the function y="sin"x,x in[0, 2pi] is in...

    Text Solution

    |

  18. If y =(sin^(-1) x)^2, prove that (1-x^2)y2 - xy1 - 2 = 0

    Text Solution

    |

  19. Differentiate "log"(10)x+"log"(x)10+"log"(x)x+"log"(10)10.

    Text Solution

    |

  20. Verify the LMVT for the function f(x)=(1)/(4x-1),1lexle4.

    Text Solution

    |