What is the angle between the two vectors -0.19236 and 0.99998

Answer 1

To find the angle between two vectors, we can use the dot product formula:

θ = arccos((v1 • v2) / (|v1| * |v2|))

Where v1 and v2 are the two vectors and • denotes the dot product.

Given the two vectors:
v1 = -0.19236
v2 = 0.99998

Calculating the dot product:
v1 • v2 = (-0.19236)(0.99998) = -0.19235

Calculating the magnitudes of the vectors:
|v1| = sqrt((-0.19236)^2) = 0.19236
|v2| = sqrt((0.99998)^2) = 0.99998

Plugging in the values to the formula:
θ = arccos((-0.19235) / (0.19236 * 0.99998))
θ = arccos(-0.19235 / 0.19235)

Since the numbers are very close to each other, the angle should be approximately 0 degrees (or very close to it).