Problems
For Problems 1-5, determine whether the given set of
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Differential Equations and Linear Algebra (4th Edition)
- 2. If , and the vector is drawn with its tail at the point, find the coordinates of the point at the head of .arrow_forwardFind (a) v x w, (b) w x v, and (c) v x v for the two given vectors. v = j + k, w = 2i +2j +3 k (a) v x w = ai +bj +ck where O. b=. and c= (Type exact values, in simplified form, using fractions and radicals as needed. Type 1, -1, or 0 when appropriate, even though these valu usually shown explicitly when writing a vector in terms of its components.) (b) w x v = ai +bj +ck where , b=. and c= (Type exact values, in simplified form, using fractions and radicals as needed. Type 1, - 1, or 0 when appropriate, even though these values usually shown explicitly when writing a vector in terms of its components.)arrow_forwardFor each of the following lists of vectors in R3, determine whether the first vector can be expressed as a linear combination of the other two. (a) (-2,0,3) ,(1,3,0),(2,4,-1) (b) (1,2,-3) ,(-3,2,1) ,(2,-1,-1) (c) (3,4,1) ,(1,-2,1), (-2,-1,1) (d) (2,-1,0) , (1,2,-3), (1,-3,2) (e) (5,1,-5) , (1,-2,-3), (-2,3,-4) (f) (-2,2,2) ,(1,2,-1) ,(-3,-3,3)arrow_forward
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