Angle Between the Vectors Using Cosine Theta

Find the angle between the vectors

• 142.13°

• 48.23°

• 261.24°

• 315.48°

Find the angle between the vectors

• 142.13°

• 23.48°

• 132.88°

• 359.78°

Find the angle between u and v.

• 78.930^o
• 33.691^o
• 101.070^o
• 146.310^o

Find the unit vector in the same direction as v.

• <0.385, 0.923>
• <-0.832, 0.555>
• <5/13, 12/13>
• <-5/13, -12/13>

Find the angle between v and w

• 21.8 degrees

• 111.8 degrees

• 68.2 degrees

Find cos ϴ (the ratio), where ϴ is the angle between vectors a = i + j and b = -2i + 3j. 

• 1 ∕ √22
• 1 ∕ √24
• 1 ∕ √26
• 1 ∕ √28

Given u = <3, 7> and v =<-5, 4>, find 2v - 3u

• <21, 2>
• <-19, -13>
• <-15, 3>
• 23

Find the dot product if ||v||= 8, ||w||=6 and the angle between them is θ = 240˚

• -24

• 24

• 48

• -48