Vector operations
Simplify:
-4 <6, -3>
<-24,12>
How do you find a unit vector?
Divide the vector by its magnitude
Slope of <3,4>
4/3
How do you know if two vectors are orthogonal?
If the dot product = 0
Do dot products end in vectors or number values?
number values
Find the sum of the vectors:
U= <2, -1>
V= <3, 5>
<5,4>
Find the unit vector of
<2,5>
<2/sqrt29,5/sqrt29>
Magnitude of <3,4>
5
Vector from (3,3) to (0,1)
<-3,-2>
Find the dot product of <1,1> and <2,3>.
5
Simplify:
2<7, -2> + 6<-2, 4>
<2, 20>
Find the unit vector <6,8>
<6/10,8/10>
Magnitude of <5+12>
13
Are the following vectors orthogonal?
a = <1,2> and b = <0,-4>
No
Find the dot product
u = <4, 6> v= <3, -2>
0
u = <7, 4> v= <3,9>
Find:
2u - 3v
<5,-19>
Find the unit vector <3,-7>
<3/sqrt58,-7/sqrt58>
Find the slope of the vector from (-2,0) to (3,4)
4/5
Are the following vectors orthogonal?
u = <-18,-3> v = <-1, 6>
yes
Given the following vectors, calculate their dot product:
a = <9,2> and b = <7,17>
97
It u= <-1,4>, v=<2,-3>, and w=<2,-1>
find
(u*v)w
<-28,14>
Find the unit vector of <-2,3>
<-2/sqrt13,3/sqrt13>
Find the magnitude of the vector from (-2,0) to (3,4)
sqrt41
Given the initial point (3,4) and the terminal point (7,9), find the vector's component form.
<4,5>
Given u= <2, -2>, v = <5, 8>
"Find " u*2v
-12