Question

The angle between vectors (2,3) and (-3,2) is____degrees
How do I find the angle?

Answer 1

90

Answer 2

How did you calculate this?

Answer 3

@Loser66

Answer 4

slopes.
Calculate slope of vector 1, namely m1
slope of vector 2, namely m2
you can see \(m_2 =-\dfrac{1}{m_1}\)
That shows they are perpendicular.

Answer 5

Method2: if you want to use Linear algebra, just calculate
\(\theta = arcos \dfrac{<v1, v2>}{||v1||||v2||}\)

Answer 6

the dot product is zero , therefore the vectors are perpindicular
therefore the angle is 90

Answer 7

Thanks for that! I am visual and youre description definitly helped me to put it into perspective:) @owen3