Find all scalars c, if any exist, such that the given statement is true.  A. The vector [c, -c, 4] is parallel to the vector [-2, 2, 20].   B. The vector [13, -15] is a linear combination of the vectors [1, 5] and [3, c].  C. The vector 3i - 2j + ck is in the span of i+ 2j - k and j+3k

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find all scalars c, if any exist, such that the given statement is true. 
A. The vector [c, -c, 4] is parallel to the vector [-2, 2, 20].  

B. The vector [13, -15] is a linear combination of the vectors [1, 5] and [3, c]. 

C. The vector 3i - 2j + ck is in the span of i+ 2j - k and j+3k 

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