FCM-Home       Direction Angles: Exercises

   Exercise   Find all direction angles of the vector  u (4,–2,–4)  in .     |  Answer  |  Solution  |

   Exercise   Let  x (,)  be a vector in . What values of the direction angles and are possible if

  • x is a first quadrant vector; i.e. , > 0?     |  Answer  |
  • x is a second quadrant vector; i.e. < 0, and > 0?     |  Answer  |

How are the direction angles of x related if

  • x is a first quadrant vector; i.e. , > 0?     |  Answer  |
  • x is a second quadrant vector; i.e. < 0, and > 0?     |  Answer  |

Exercises involving angles between vectors in general

   Find the angles of the triangle in with corner

(1,1,1),    (4,3,2),    (2,3,4).

    |  Hint  |  Answer  |  Solution  |