Answer:
k(magnitude of vector a).vector a
Step-by-step explanation:
Given question is based on vectors so,
vectors :- Vectors in math is a geometric entity that has both magnitude and direction. Vectors have an initial point at the point where they start and a terminal point that tells the final position of the point. Various operations can be applied to vectors such as addition, subtraction, and multiplication.
To produce an another vector form a given vector we increase its magnitude only not its direction as we have to produce another vector from a given vector.
as its clear from the graph given in the question that only the magnitude of vector a is increased to produce another vector b
hence we multiply any constant ('k') with the magnitude of vector a to increase its magnitude.
and finally multiply the increased magnitude with the vector 'a' itself.
more on vectors at:
https://brainly.com/question/13322477
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