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Consider vectors u = ⟨2, 1⟩ and v = ⟨4, –1⟩ with the angle between them equal to 40°. What are the scalar projections uv and vu?

a) uv = 1.33 and vu = 1.33
b) uv = 1.33 and vu = 3.16
c) uv = 1.71 and vu = 1.33
d) uv = 1.71 and vu = 3.16

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Answer:

D. uv = 1.71 and vu = 3.16

Step-by-step explanation:

Ver imagen rileygreene47

The scalar projections are uv = 1.71 and vu = 3.16

The correct option is (D)

What is meant by scalar projection?

The definition of scalar projection is the length of the vector projection.

Given: u = ⟨2, 1⟩,  = ⟨4, –1⟩, and θ = 40°

Proj u_v = |u| cosθ

= 2.25 * cos 40

= 2.25 * 0.7660

=1.72

and, Proj v_u = |v| cosθ

= 4.123 * cos 40

= 4.123 * 0.7660

= 3.16

Learn more about this concept here:

https://brainly.com/question/19938443

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