vectors

Related BrainMass Solutions

• Linear independence of vectors &Linear dependence of vectors

  If the vectors u1,u2,u3,...,ur are linearly dependent, then one of the vectors is a linear combination of the remaining vectors. Let the vectors u1,u2,u3,...

• Vectors : Area of Parallelogram, Perpendicular Vectors , Angles Between Vectors, Orthogonal Vectors and Determinants

  52711 Vectors : Area of Parallelogram, Perpendicular Vectors , Angles Between Vectors, Orthogonal Vectors and Determinants 1. For vectors v and w in , show that v - w and v + w are perpendicular if and only if . 2.

• Linear Algebra: Spanning sets and basis

  For example, look at the set in : (1.3) Then all the vectors that can be created from these three vectors are of the form: (1.4) If we look at these vectors as Cartesian coordinates in real space, these vectors all lie in the xy plane.  

• Linear Algebra: Vectors and Least Squares Problems

  Given the vectors (4, 2, 1), (2, -1, 1) and (2, 3, 0) (a) Determine whether these vectors are linearly independent or dependent. (b) What is the dimension of the space spanned by these vectors? 4.

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• vectors

  Getting used to vectors is encouraged. The vectors with the same length to form an equilateral triangle is examined. The magnitude and direction of the vectors are calculated.

• Scalar and vector operations

  Solution provides written vectors in terms of unit vectors, and uses unit vectors to express other vectors.

• Vectors - Find the Resultant Vector

  The diagonal has length 13.8 and is the resultant of the two force vectors. Diagrams of the given vectors have been drawn to scale and the resultant vectors determined.

• Matrices and Vectors : Linear Independence

  Linear independence of vectors is investigated. The solution is well presented.

• Inner Products for Unit Vectors

  15885 Inner Products for Unit Vectors Let f1, f2, f3 be unit vectors in R3 such that < f1, f2 >= 1/2. Give a necessary and sufficient relationship between x =< f1, f3 > and y =< f2, f3 >.