Question

rot roti SCREEN PRİNIER VERSION 1 BACK NEXT Chapter 03, Problem 033 Incorrect. For the vectors in the figure, with a 4.0, b- 3.0, and c 5.0 what are (a) the magnitude and (b) the direction of a x b, (e) the magnitude and (d) , (c) the magnitude and (d) the direction of a xc and (e) the magnitude and (f) the direction b × C ?

Answer 1

given

a = 4 i ,

b = 3 j ,

c = - a - b

c = - 4i - 3 j

              I      i           j              k      |

a X b =    |      4         0             0       |

              |      0         3             0       |

a X b = 12 k

a )

the magnitude is | a X b | = 12

b )

the direction is + z - direction

c )

              I      i           j              k      |

a X c =    |      4         0             0       |

              |     -4        -3             0       |

a X c = - 12 k

the magnitude is | a X c | = 12

d )

the direction is - z direction

e )

            I      i           j              k      |

b x c =    |      0         3             0       |

              |      -4       -3             0       |

b X c = 12 k

the magnitude is | b X c | = 12

f )

the direction is + z direction