Question

Consider vectors u and v, where u = ⟨1, –1⟩ and v = ⟨1, 1⟩. what is the measure of the angle between the vectors?

Answer 1

The angle between the two vectors is 0⁰, thus the two vectors are parallel to each other.

Angle between the vectors

The angle between the vectors describes the direction of the vector and the value of the angle can be determined from the horizontal and vertical components of the vectors as shown below.

The sum of the horizontal components and vertical components of the vectors is calculated as follows;

Sum of the horizontal component of the vectors, x = 1 + 1 = 2

Sum of the vertical component of the vectors, y = -1 + 1 = 0

The angle between the vectors is calculated as follows;

θ = arc tan (y/x)

θ = arc tan (0/2)

θ = arc tan (0)

θ = 0⁰

The angle between the two vectors is 0⁰, thus the two vectors are parallel to each other.

Learn more about vectors here: brainly.com/question/25811261

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