Home
Class 12
MATHS
Can a vector have direction angles 45^@,...

Can a vector have direction angles `45^@`, `60^@` and `120^@`?

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

Similar Questions

Explore conceptually related problems

How many triangles can be drawn having its angles as 45^@,64^@ and 72^@ ? Give reasons for your answer.

The unit vector in XOZ plane and making angles 45^@ and 60^@ respectively with vec(a)=2i+2j-k and vecb=0i+j-k , is

A triangle can have two acute angles.

A triangle can have two right angles.

A triangle can have two obtuse angles

Can you have a triangle with all the three angles greater than 60^@ ?

Show that the triangle which has one of the angles as 60^(@) can not have all vertices with integral coordinates.

Can a triangle have An obtuse angle and an acute angle

Can a triangle have Obtuse angle and a right angle

Can a body have acceleration in one direction and velocity in another direction?

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |

  2. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |

  3. Can a vector have direction angles 45^@, 60^@ and 120^@?

    Text Solution

    |

  4. A line makes angles 45^@ and 60^@ with the positive direction of the a...

    Text Solution

    |

  5. If a line makes angles 90^(@),60^(@) and 30^(@) with the positive dire...

    Text Solution

    |

  6. A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find the ...

    Text Solution

    |

  7. A vector vecr has length 14 and direction numbers <2,6,-3>. Find the d...

    Text Solution

    |

  8. A vector vecv is inclined at equal angles to the positive directions o...

    Text Solution

    |

  9. Show that the line joining the mid points of two sides of a triangle i...

    Text Solution

    |

  10. The Cartesian equations of a line are (x-5)/3 = (y+4)/7 =(z-6)/2. Ve...

    Text Solution

    |

  11. The Cartesian equation of a line is (x+3)/2 = (y-5)/4 = (z+6)/2. Find...

    Text Solution

    |

  12. A line passes through the point with position vector 2hati-hatj+4hatk...

    Text Solution

    |

  13. Find the vector equation for the line through the points A(3,4,-7) and...

    Text Solution

    |

  14. The cartesian equation of a line is 6x - 2 = 3y + 1 = 2z - 2. Find :(a...

    Text Solution

    |

  15. Find the equations of a line through A(1,-1,0) and parallel to the lin...

    Text Solution

    |

  16. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

    Text Solution

    |

  17. Show that the two lines (x-5)/4=(y-7)/4=(z+3)/-5 and (x-8)/7=(y-4)/1=(...

    Text Solution

    |

  18. Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6...

    Text Solution

    |

  19. Prove that the line through A(0,-1,-1) and B(4,5,1) intersects the lin...

    Text Solution

    |

  20. Show by direction numbers that the points (-2,4,7),(3,-6,-8) and (1,-2...

    Text Solution

    |