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

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Question 149681: 1. Find the magnitude of the following vector: v = -2i - 4j.
2. Find the unit vector that has the same direction as the vector below: v = 4j
3. In what quadrant is the terminal point of the vector below located?
v = 5i - 3j
4.The vector, v, is multiplied by a scalar as shown below. v = -i + j -3(v)
: 1. Find the magnitude of the following vector: v = -2i - 4j.
2. Find the unit vector that has the same direction as the vector below: v = 4j
3. In what quadrant is the terminal point of the vector below located?
v = 5i - 3j
4.The vector, v, is multiplied by a scalar as shown below. v = -i + j -3(v)

Answer by Fombitz(1756) About Me  (Show Source):
You can put this solution on YOUR website!
1. abs(v)=sqrt((-2)^2+(-4)^2)=sqrt(4+16)=sqrt(20)=2*sqrt(5)
2. v[1]=v/abs(v)
v[1]=4j/4
v[1]=j
3. (5,-3) Starting at the origin, that 5 right, 3 down.
4th Quadrant.
drawing( 300, 300, -6, 6, -6, 6,grid( 1 ),green(line(5,-3,4.7,-3)),green(line(5,-3,5,-2.7)),green(line( 0, 0, 5, -3)))
4.v = -i + j
-3(v)=(-3)(-i)+(-3)j
-3(v)=3i-3j