| Keyword | CPC | PCC | Volume | Score | Length of keyword |
|---|---|---|---|---|---|
| determine if vectors are linearly independent | 1.26 | 0.9 | 9793 | 10 | 45 |
| determine | 0.62 | 1 | 3577 | 83 | 9 |
| if | 1.28 | 0.3 | 8703 | 28 | 2 |
| vectors | 1.02 | 0.6 | 5385 | 23 | 7 |
| are | 0.17 | 0.5 | 85 | 33 | 3 |
| linearly | 0.78 | 0.5 | 6602 | 55 | 8 |
| independent | 0.75 | 1 | 1104 | 87 | 11 |
| Keyword | CPC | PCC | Volume | Score |
|---|---|---|---|---|
| determine if vectors are linearly independent | 1.66 | 0.2 | 8197 | 12 |
| how to determine linearly independent vectors | 0.56 | 0.2 | 5300 | 87 |
| determine vectors are linearly independent | 1.33 | 0.5 | 2834 | 35 |
| check if 3 vectors are linearly independent | 1.51 | 0.9 | 2371 | 41 |
| how to prove vectors are linearly independent | 1.68 | 0.4 | 9195 | 10 |
| vectors are linearly independent | 0.5 | 0.7 | 8240 | 61 |
| when are vectors linearly independent | 1.36 | 0.8 | 6278 | 46 |
| are these vectors linearly independent | 0.04 | 0.7 | 1692 | 99 |
| show two vectors are linearly independent | 0.46 | 0.7 | 9710 | 78 |
| how to check linearly independent vectors | 1.75 | 0.1 | 6597 | 56 |
| what makes vectors linearly independent | 0.56 | 0.8 | 2301 | 97 |
| when is a vector linearly independent | 1.37 | 0.3 | 415 | 44 |
| what makes a vector linearly independent | 0.05 | 0.9 | 9971 | 21 |
| is one vector linearly independent | 0.57 | 0.9 | 883 | 69 |
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 ...
Are two vectors having equal magnitude?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.
How do you find the linear combination of a 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 .
How to prove that two vectors are perpendicular?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
