Show:
Definitions
Dot Products
More Dot Products
Vector Angles
More Vector Angles
100
Another name for the dot product is this
Inner product
100
Find the dot product of u and v. u = <5, 3>, v = <12, 4>
72
100
Find the dot product of u and v. u = <-5, 2>, v = <8, 13>
-14
100
Find the angle between the vectors. u = <-4, -3>, v = <-1, 5>
115.56°
100
Find the angle between the vectors. u = -2i, v = 5j
90°
200
The angle between vectors can only be calculated if the vectors are this
Nonzero
200
Find the dot product of u and v. u = <-2, 7>, v = <-5, -8>
-46
200
Find the dot product of u and v. u = 2i - 4j, v = -8i + 7j
-44
200
Find the angle between the vectors. u = <5, 2>, v = <-6, -1>
167.66°
200
Find the angle between the vectors. u = <-3, 8>, v = <-1, -9>
153.10°
300
u · v = u sub 1 v sub 1+ u sub 2 v sub 2 is the equation for this
Dot product
300
Find the dot product of u and v. u = 7i, v = -2i + 5j
-14
300
Find the dot product of u and v. u = 4i - 11j, v = -3j
33
300
Find the angle between the vectors. u = <2, -2>, v = <-3, -3>
90°
300
Find the angle between the vectors. u = <2, 3>, v = <-2, 5>
55.5°
400
cos θ = (u · v) / (|u| |v|) is the equation for this
Angle between vectors
400
Find the dot product of u and v. u = <4, 5>, v = <-3, -7>
-47
400
Find the dot product of u and v. u = <3, 4>, v = <5, 2>
23
400
Find the angle between the vectors. u = <2, 3>, v = <-3, 5>
64.65°
400
Find the angle between the vectors. u = <2, 1>, v = <-1, -3>
135°
500
True or false: sin θ = (u · v) / (|u| |v|) and θ = inverse sin (u · v) / (|u| |v|) are both utilized to calculate the angle between vectors
False
500
Find the dot product of u and v. u = -4i - 9j. v = -3i - 2j
30
500
Find the dot product of u and v. u = <1, -2>, v = <-4, 3>
-10
500
Find the angle between the vectors. u = 3i - 3j, v = -2i + 2 sqrt(3)j
165°
500
Find the angle between the vectors. u = 2i + 6j, v = -3i + 2j
74.74°