If |u| = 10, |v| = 8, and the angle formed between them is 60°, then u · v = .
What is 80 cos60?
80 cos 60 = 40
To find the dot product (u · v) of two vectors, we need to use the formula:
u · v = |u| |v| cosθ,
where |u| and |v| are the magnitudes of the vectors u and v, and θ is the angle formed between them.
In this case, |u| = 10, |v| = 8, and the angle formed between u and v is 60°. Plugging these values into the formula, we get:
u · v = 10 * 8 * cos60°
Now, we need to calculate the value of cos60°. We can look up the value of cos60° in a trigonometric table or use a calculator to find that cos60° = 0.5.
Plugging this back into the equation, we have:
u · v = 10 * 8 * 0.5
Now, we can calculate the dot product:
u · v = 40
Therefore, the dot product of u and v is 40.