Home
Class 12
MATHS
Find the direction ratios and the direct...

Find the direction ratios and the direction cosines of the vector `vecr= hati + hatj+hatk`.

Text Solution

Verified by Experts

The correct Answer is:
Direction cosines `1/sqrt(3), 1/sqrt(3), 1/sqrt3`
Direction ratio `=k, k, k, ((k in R), (k ne0))` [General answer]
`= pm1, pm1, pm1` [In board Exams]
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - A|90 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - B|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise Illustration|4 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

(i) Find the unit vector in the direction of veca+vecb if veca=2hati-hatj+2hatk , and vecb=-hati+hatj-hatk (ii) Find the direction ratios and direction cosines of the vector veca=5hati+3hatj-4hatk .

Find the direction cosines of the vector: hati+2hatj+6hatk

Find the direction cosines of the vector 2hati+2hatj-hatk

Find the direction cosines of the vector hati+2hatj+3hatk .

The direction cosines of the vector 3hati-4hatj+5hatk are

The direction cosines of the vector 3hati-4hatj+5hatk are

Find magnitude and direction cosines of the vector, A= (3hati - 4hatj+5hatk).

The direction cosines of a vector hati+hatj+sqrt(2) hatk are:-

Statement1: A component of vector vecb = 4hati + 2hatj + 3hatk in the direction perpendicular to the direction of vector veca = hati + hatj +hatk is hati - hatj Statement 2: A component of vector in the direction of veca = hati + hatj + hatk is 2hati + 2hatj + 2hatk

Find the unit vector in the direction of the sum of the vectors veca=2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
  1. Find the direction cosine of a line passing through origin and the poi...

    Text Solution

    |

  2. Find the direction cosines of the line passing through (0, 1, -2) and ...

    Text Solution

    |

  3. Find the direction ratios and the direction cosines of the vector vecr...

    Text Solution

    |

  4. Show that the points P" "(2," "3," "5) , Q" "(1," "2," "3) and R (7," ...

    Text Solution

    |

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

    Text Solution

    |

  6. Find the vector equation of a line through the point (-3, 2, -4) and i...

    Text Solution

    |

  7. Find the vector equation of a line passing through origin and is paral...

    Text Solution

    |

  8. Find the equation of line which passes through a point (-1, 2, 3) and ...

    Text Solution

    |

  9. Find the equation of line which passes through a point where line give...

    Text Solution

    |

  10. Find the equation of the line in vector form passing through the point...

    Text Solution

    |

  11. Find the equation of the line in vector form passing through the point...

    Text Solution

    |

  12. Find the equation of line through the points P(1, 2, 3) and Q(3, 4, 5)...

    Text Solution

    |

  13. Find the equation of line through the origin and a point where line (x...

    Text Solution

    |

  14. Find the angle between the lines given by vecr=(2hati+3hatj+4hatk)-l...

    Text Solution

    |

  15. Find the angle between the lines vecr = (hati+hatj)+lambda (hati+hat...

    Text Solution

    |

  16. Find the angle between the pair of lines (x-1)/2=(y-3)/4=(z+2)/6 and...

    Text Solution

    |

  17. Find the angle between the lines, one of which is parallel to the line...

    Text Solution

    |

  18. Find the shortest distance between the lines l(1) and l(2) whose vecto...

    Text Solution

    |

  19. Find the shortest distance between the lines l(1) and l(2) given by ...

    Text Solution

    |

  20. Find the shortest distance between the lines vecr =lambda (2hati+ 3h...

    Text Solution

    |