Home
Class 12
MATHS
If veca,vecb,vecc are mutually perpendi...

If `veca,vecb,vecc` are mutually perpendicular vectors of equal magnitudes , show that the vector `vecc*vecd=15` is equally inclined to `veca,vecbandvecc`.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT TAMIL|Exercise EXERCISE 10.4|12 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    NCERT TAMIL|Exercise EXERCISE 5.6|25 Videos

Similar Questions

Explore conceptually related problems

If veca,vecb,vecc are mutually perpendicular vectors of equal magnitude show that veca+vecb+vecc is equally inclined to veca, vecb and vecc

if veca,vecb and vecc are mutally perpendicular vectors of equal magnitudes, then find the angle between vectors and veca+ vecb+vecc .

If veca,vecb,vecc are three mutually perpendicular vectors, then the vector which is equally inclined to these vectors is (A) veca+vecb+vecc (B) veca/|veca|+vecb/|vecb|+vecc/|vecc| (C) veca/|veca|^2+vecb/|vecb|^2+vecc/|vecc|^2 (D) |veca|veca-|vecb|vecb+|vecc|vecc

If veca,vecb,vecc are three mutually perpendicular unit vectors, then prove that abs(veca+vecb+vecc)=sqrt3

If veca, vecb, vecc are three mutually perpendicular unit vectors then |veca+vecb+vecc| is

if veca, vecb and vecc are there mutually perpendicular unit vectors and veca ia a unit vector make equal angles which veca, vecb and vecc then find the value of |veca+ vecb + vecc + vecd|^2

Statement 1: veca, vecb and vecc are three mutually perpendicular unit vectors and vecd is a vector such that veca, vecb, vecc and vecd are non- coplanar. If [vecd vecb vecc] = [vecdvecavecb] = [vecdvecc veca] = 1, " then " vecd= veca+vecb+vecc Statement 2: [vecd vecb vecc] = [vecd veca vecb] = [vecdveccveca] Rightarrow vecd is equally inclined to veca, vecb and vecc . Option A: Both the statements are true and statement 2 is the correct explanation for statement 1. Option B: Both statements are true but statement 2 is not the correct explanation for statement 1. Option C: Statement 1 is true and Statement 2 is false Option D: Statement 1 is false and Statement 2 is true.

Let veca vecb and vecc be pairwise mutually perpendicular vectors, such that |veca|=1, |vecb|=2, |vecc| = 2 , the find the length of veca +vecb + vecc .

veca and vecb are two unit vectors that are mutually perpendicular. A unit vector that if equally inclined to veca, vecb and veca xxvecb is equal to

NCERT TAMIL-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. Write down a unit vector in XY - plane making an angle of 30^(@) with ...

    Text Solution

    |

  2. Find the scalar components and magnitude of the vector joining the poi...

    Text Solution

    |

  3. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

    Text Solution

    |

  4. If veca = vec b+ vec c, then is it true that |veca| = |vec b| + |vec ...

    Text Solution

    |

  5. Find the value of x for which x (hat i + hat j + hat k) is a unit vect...

    Text Solution

    |

  6. Find a vector of magnitude 5 units and parallel to the resultant of th...

    Text Solution

    |

  7. If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatkandvecc=hati-2hatj+hatk, ...

    Text Solution

    |

  8. Show that the points A(1, -2, -8) B (5, 0, -2) and C(11, 3, 7) are col...

    Text Solution

    |

  9. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  10. The two adjacent sides of a parallelogram are 2 hat i - 4 hat j + 5 ha...

    Text Solution

    |

  11. Show that the direction cosines of a vector equally inclined to the ax...

    Text Solution

    |

  12. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatkandvecc=2hati-hatj+4ha...

    Text Solution

    |

  13. Thescalar product of the vector hat i + hat j + hat k with a unit vect...

    Text Solution

    |

  14. If veca,vecb,vecc are mutually perpendicular vectors of equal magnitu...

    Text Solution

    |

  15. Prove that (veca+vecb)*(veca+vecb)=|veca|^(2)+|vecb|^(2), if and only...

    Text Solution

    |

  16. If theta is the angle between two vectors vecaandvecb then veca*vecbge...

    Text Solution

    |

  17. Let vecaandvecb be two unit vectors and theta is the angle between the...

    Text Solution

    |

  18. The value of hati.(hatjxxhatk)+hatj.(hatkxxhati)+hatk.(hatjxxhati) ...

    Text Solution

    |

  19. If theta is the angle between any two vectors vec a and vec b , then |...

    Text Solution

    |