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For the vectors u and v with magnitudes u = 88 and v = 99​, find the angle θ between u and v which makes u and v = 77.

Respuesta :

abidemiokin

Answer:

89.5°

Step-by-step explanation:

Using the vector formula [tex]u.v = |u||v|cos\theta[/tex]

|u| = magnitude of vector u

|v| = magnitude of vector v

u.v is the dot product of vector u and v

Given |u| = 88, |v| = 99 and u.v = 77, to get [tex]\theta[/tex] we will substitute the given values into the equation above;

[tex]77 = 88*99cos\theta\\cos\theta = \frac{77}{88*99} \\cos\theta = \frac{77}{8712} \\cos\theta = 0.008838\\\theta = cos^{-1} 0.008838\\\theta = 89.5^{0}[/tex]

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