SOLUTION: Consider the following.
u = i + 3j, v = −3i + j
(a) Find u · v.
(b) Find the angle between u and v to the nearest degree.
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Question 1206880: Consider the following.
u = i + 3j, v = −3i + j
(a) Find u · v.
(b) Find the angle between u and v to the nearest degree.
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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