Question

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.

Answer 1

Answer:
`\theta =27.26^(\circ)`

Step-by-step 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.

`A\cdot B=|A||B|cos\theta`

`40=5* 9* cos\theta`

`cos\theta =(8)/(9)=0.889`

`\theta =27.26^(\circ)`