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

check if two vectors are linearly independent | 1.78 | 0.9 | 2847 | 65 | 45 |

check | 0.21 | 0.4 | 572 | 73 | 5 |

if | 0.06 | 0.8 | 8993 | 93 | 2 |

two | 1.55 | 0.1 | 3216 | 94 | 3 |

vectors | 1.77 | 0.2 | 1433 | 21 | 7 |

are | 0.78 | 0.3 | 8945 | 39 | 3 |

linearly | 1.6 | 0.5 | 4281 | 16 | 8 |

independent | 1.24 | 0.8 | 7900 | 51 | 11 |

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

check if two vectors are linearly independent | 1.82 | 1 | 7940 | 7 |

show two vectors are linearly independent | 1.82 | 0.4 | 5110 | 53 |

how to check linearly independent vectors | 0.93 | 0.7 | 6517 | 36 |

prove two vectors are linearly independent | 0.34 | 0.9 | 4795 | 97 |

how to tell if vectors linearly independent | 1.25 | 0.5 | 6345 | 97 |

determine vectors are linearly independent | 0.03 | 0.5 | 5293 | 45 |

test if 3 vectors are linearly independent | 0.05 | 0.2 | 3789 | 65 |

determine if a vector is linearly independent | 1.31 | 0.4 | 977 | 89 |

how to show vectors are linearly independent | 1.12 | 0.3 | 4323 | 70 |

how to prove vectors are linearly independent | 0.73 | 0.6 | 5352 | 59 |

show that vectors are linearly independent | 1.8 | 0.8 | 5140 | 42 |

how to determine linearly independent vectors | 0.54 | 0.6 | 3060 | 54 |

how to find linearly independent vectors | 1.48 | 0.5 | 3568 | 9 |

finding linearly independent vectors | 1 | 0.3 | 9008 | 70 |

are the vectors linearly independent | 0.01 | 0.2 | 8069 | 81 |

are these vectors linearly independent | 0.68 | 0.3 | 9963 | 47 |

linearly independent vector check | 0.5 | 0.1 | 7288 | 19 |

check linear independence of vectors | 0.68 | 0.8 | 3156 | 89 |

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