SOLUTION: Consider the following. 𝘂 = 𝗶 + 6𝗷, 𝘃 = 7𝗶 − 𝗷 (a) Find 𝘂 · 𝘃. 𝘂 · 𝘃 = (b) Find the angle between 𝘂 and 𝘃 to the nearest degree.

Question 1206882: Consider the following.
𝘂 = 𝗶 + 6𝗷, 𝘃 = 7𝗶 − 𝗷
(a) Find 𝘂 · 𝘃.
𝘂 · 𝘃 =

(b) Find the angle between 𝘂 and 𝘃 to the nearest degree.
𝜃 = °
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

,
(a) Find

To find the dot product of and , use the formula

where , are the coefficients of and , are the coefficients of .

In this case,
,
,

the dot product of and is

(b) Find the angle between and to the nearest degree.
To find the angle between and , we use the formula:

where and are the magnitudes of and , respectively
the magnitude of is
the magnitude of is

°
°

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