Question

Find u⋅vu⋅v given that θθ is the angle between vectors uu and vv, θ=150∘θ=150∘, and the magnitudes of the vectors are ∣u∣=3 and ∣v∣=8.

Answer 1

The dot product of two vectors can be found using the formula u⋅v = |u| |v| cos(θ). Substituting the given values, we find the dot product to be -12.

Step-by-step explanation:

To find the dot product of two vectors, we can use the formula: u⋅v = |u| |v| cos(θ), where |u| is the magnitude of vector u, |v| is the magnitude of vector v, and θ is the angle between the two vectors. Given that θ = 150°, |u| = 3, and |v| = 8, we can substitute these values into the formula:

u⋅v = 3 * 8 * cos(150°) = -12

Therefore, the dot product of the two vectors is -12.