Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) a =   3, −1, 6  ,    b =   −3, 6, 3   exact     ​       approximate

Q: a and 5.Vectors make an angle º= 60 , ļā]= 5, |b|=8 Evaluate: ļā – |

A: Some identities you should know to get started:

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Q: EXAMPLE: NE d, = 50 m, 65º E of S ds = 80 m, SW d, = 47 m, NE d = 30 m d = 30 m, NE

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.