Keyword | CPC | PCC | Volume | Score | Length of keyword |
---|---|---|---|---|---|

how to show vectors are linearly independent | 1.68 | 0.8 | 8126 | 42 | 44 |

how | 0.92 | 0.9 | 3766 | 82 | 3 |

to | 2 | 0.9 | 6740 | 42 | 2 |

show | 1.87 | 0.7 | 356 | 19 | 4 |

vectors | 1.85 | 0.2 | 272 | 96 | 7 |

are | 0.03 | 0.7 | 9518 | 17 | 3 |

linearly | 0.73 | 0.3 | 4225 | 11 | 8 |

independent | 1.68 | 0.3 | 6315 | 38 | 11 |

Keyword | CPC | PCC | Volume | Score |
---|---|---|---|---|

how to show vectors are linearly independent | 1.67 | 0.3 | 4204 | 2 |

show that vectors are linearly independent | 0.51 | 0.7 | 4916 | 58 |

show two vectors are linearly independent | 0.14 | 0.8 | 8212 | 7 |

show 2 vectors are linearly independent | 1.78 | 0.9 | 4404 | 61 |

how to check linearly independent vectors | 1.33 | 0.1 | 4700 | 96 |

check if vectors are linearly independent | 1.31 | 0.5 | 504 | 23 |

vectors that are linearly independent | 0.96 | 0.3 | 6376 | 3 |

what are linearly independent vectors | 1.8 | 0.8 | 3908 | 73 |

what makes vectors linearly independent | 0.6 | 0.9 | 2855 | 12 |

when is a vector linearly independent | 1.31 | 0.5 | 7809 | 100 |

what makes a vector linearly independent | 1.28 | 0.1 | 2321 | 24 |

linearly independent vector example | 1.17 | 0.4 | 2830 | 16 |

Vectors v1, . . . , vn are linearly dependent if the zero vector can be written as a nontrivial linear combination of the vectors: In this case, we refer to the linear combination as a linear dependency in v1, . . . , vn. On the other hand, if the only linear combination that equals the zero vector is the trivial linear combination, we say v1, . . . , vn are linearly independennonzero vectzero ...

Two vectors are equal if they have the same length (magnitude) and direction. Examples: 1. Let u be the vector represented by the directed line segment from R = (-4, 2) to S = (-1, 6) a) Find the magnitude of u. b) Find the component form of the vector.

We define a linear combination of vectors and examine whether a given vector may be expressed as a linear combination of other vectors, both algebraically and geometrically. A vector v is said to be a linear combination of vectors v 1, v 2, …, v n if v = a 1 v 1 + a 2 v 2 + … + a n v n for some scalars a 1, a 2, …, a n .

Two vectors u= (a,b) and v= (c,d) in a coordinate plane are perpendicular if and only if their scalar product a*c + b*d is equal to zero: a*c + b*d = 0. Example 1 Prove that the vectors u= ( , ) and v= ( , ) are perpendicular. Solution The scalar product of these vectors is