Find the angle between u and v, rounded to the nearest tenth degree. u = (4, 0, 2), v = (6, −3, 0)

The angle between vectors u and v is

Step-by-step explanation:

Recall:

Calculation:

Plug dot product and magnitudes into formula:

Conclusion:

The angle between vectors u and v is

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)