Questions on Algebra: Introduction to vectors, addition and scaling answered by real tutors!

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Question 88101: perform the following operation for the given equation:
5(v) for v=-3i+2j: perform the following operation for the given equation:
5(v) for v=-3i+2j
Answer by jim_thompson5910(9390) About Me  (Show Source):
You can put this solution on YOUR website!
To multiply the scalar 5 and the vector simply multiply the scalar by each component like this:


Start with the given expression

Multiply the number 5 by each component of the vector

Simplify

So


Here's a visual representation
drawing(500, 500, -15, 15, -15, 15,<BR> graph(500, 500, -15, 15, -15, 15,0),<BR> red(arrow(0,0,5*-3,5*2)),<BR> blue(arrow(0,0,-3,2))<BR> ) Plot of the original vector (blue) and the resulting vector (red)