Home
Class 12
MATHS
If vec a, vec b, vec c are mutually perp...

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`.

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2014

    MODERN PUBLICATION|Exercise EXERCISE|35 Videos
  • SAMPLE PAPER 2016

    MODERN PUBLICATION|Exercise EXERCISE|48 Videos

Similar Questions

Explore conceptually related problems

If vec a and vec b be perpendicular vectors, then prove that (vec a + vec b)^(2) = (vec a - vec b)^(2) .

If vec a , vec b , vec c are unit vectors and vec a + vec b + vec c = 0 then the evaluate vec a. vec b + vec b.vec c + vec c.vec a .

Show that vec a × (vec b+vec c) + vec b × (vec c+vec a) + vec c × (vec a+vec b) = 0

Prove that : [(vec a × vec b) (vec b × vec c) (vec c × vec a)] = [vec a vec b vec c]^(2) .

Is (vec a.vec b)vec c a vector quantity.

If vec(a),vec(b), vec(c) are such that vec(a).vec(b) = vec(a).vec(c) then show that vec(a) = 0 or vec(b) = vec(c) or vec(a) is perpendicular to vec(b) - vec(c) .

MODERN PUBLICATION-SAMPLE PAPER 2015-EXERCISE
  1. Prove that the lines joining the midpoints of consecutive sides of a q...

    Text Solution

    |

  2. Prove that : [(vec a × vec b) (vec b × vec c) (vec c × vec a)] = [vec ...

    Text Solution

    |

  3. If vec a, vec b, vec c are mutually perpendicular vectors of equal mag...

    Text Solution

    |

  4. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  5. Find the equation of the plane through the points (1, 2, -3), (2,3, -4...

    Text Solution

    |

  6. Find the perpendicular distance of the point (-1,3,9) from the line (x...

    Text Solution

    |

  7. Solve the following LPP graphically : Minimize Z = 6x(1)+7x(2) Sub...

    Text Solution

    |

  8. Find the feasible region the the following system of equations 2y-xge0...

    Text Solution

    |

  9. Solve the following equations by cramer's rule : 7x+y+1 = 0, x+13y+5 =...

    Text Solution

    |

  10. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

    Text Solution

    |

  11. If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...

    Text Solution

    |

  12. How many four digits even numbers with distict digits can be formed ou...

    Text Solution

    |

  13. In how many ways can 10 boys and 10 girls sit in a row so that no two ...

    Text Solution

    |

  14. Find the fifth term in the expansion of (6x-a^3/x)^10

    Text Solution

    |

  15. Two different digits are selected at random from the digits 1 through ...

    Text Solution

    |

  16. Suppose that the probability that your alarm goes off in the morning i...

    Text Solution

    |

  17. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

    Text Solution

    |

  18. Evaluate intfrac[dx][cosx(1+2sinx)]

    Text Solution

    |

  19. If vec a = 2 hat i + hat j, vec b = - hat i + 2 hat k, vec c = 2 hat i...

    Text Solution

    |

  20. A sphere of constant radius k passes through the origin and meets the ...

    Text Solution

    |