Vector A with arrow has a magnitude of 5.00 units, vector B with arrow has a magnitude of 9.00 units, and the dot product A with arrow · B with arrow has a value of 40.. What is the angle between the directions of A with arrow and B with arrow? answer in degrees and please show work.

Respuesta :

Answer:[tex]\theta =27.26^{\circ}[/tex]

Explanation:

Given

Vector A has magnitude of 5 units

Vector B has magnitude of 9 units

Dot product of A and B is 40

i.e.

[tex]A\cdot B=|A||B|cos\theta [/tex]

[tex]40=5\times 9\times cos\theta [/tex]

[tex]cos\theta =\frac{8}{9}=0.889[/tex]

[tex]\theta =27.26^{\circ}[/tex]