Vector Operations
<2,3> + <1,4>
What is <3,7>?
Magnitude of <3,4>
What is 5?
When a vector is written as a linear combination, the letters i and j have a magnitude of 1 and they have these two directions.
horizontal (i) and vertical (j)
Vector from (0,0) to (4,2)
What is <4,2>?
The term that means the dot product of two vectors is equal to 0.
What is orthogonal (perpendicular)?
u = <-2,3>
2u
What is <-4, 6>?
Magnitude of <-1,-1>
What is √2?
Every vector has these two properties.
What are magnitude and direction?
A vector with magnitude of 10 and direction of 220o
What is <10cos220, 10sin220>?
What you get if you dot product a vector with itself.
What is the magnitude squared?
(-2i+6j) + (4i-j)
What is 2i+5j?
This is the length of a vector.
What is the magnitude?
Vector from (-2,0) to (3,4)
What is <5,4>?
The dot product of <1,1> and <2,3>.
What is 5?
u = <2,2> v = 2<1,3>
3u + 2v
What is <8,12>?
Magnitude of 5i+12j
What is 13?
True or False? The dot product is a vector.
What is false?
Vector from (3,3) to (0,1)
What is <-3,-2>?
The dot product of <-1,4> and <2,-3>.
What is -14?
u = <5, -7>
-u
Magnitude of 7j
What is 7?
If given the magnitude and direction of a vector, these two formulas are used to find the components of the vector.
What are |v|cos(theta) and |v|sin(theta)?
Vector from (-2,10) to (7,-1)
What is <9,-11>?
The angle between the vectors <43,0> and <0,19>.