Radians 2 And Basic Vectors

Question 1

What formula do you use to find arc length?

Answer 1

𝑙 = 𝑟 θᶜ

Question 2

What formula do you use to find area of a sector?

Answer 2

Area = 1/2 r² θᶜ

Question 3

How do you find area of a segment?

Answer 3

Area = 1/2 r² (θᶜ-sin θᶜ)

Question 4

If you can write one vector as a multiple of another vector, what are they?

Answer 4

They are parallel.

Question 5

How can parallel vectors be written?

Answer 5

Any vector parallel to the vector 𝒂 can be written as 𝜆𝒂, where 𝜆 is a non-zero scalar.

Question 6

What is a unit vector?

Answer 6

A unit vector is any vector of length 1 unit. The unit vectors in the 𝑥-direction, 𝑦-direction and 𝑧-direction are denoted by the unit vectors 𝒊, 𝒋, 𝒌 respectively.

Question 7

What is another way to express vectors other than i j k notation?

Answer 7

Column vectors