∥v∥=3 ∥w∥=4 The angle between v and w is 1.2 radians. How to calculate ? a) v⋅w = ,(b) ∥1v+1w∥= , (c) ∥4v−4w∥=
1 Answer
Explanation:
Assuming we are working in a real 3 dimensional inner product space (otherwise the inner product would not be defined by angles), we have that
So
To find
Then you can add them according to the rules and obtain
Then
Similarly,
Alternatively, you may use the cosine rule since we are working in