STEP - BY - STEP EXPLANATION
What to find?
The angle between the given vectors.
Given:
u = 5i – 2j and v = 2i + 3j.
To solve the given problem, we will follow the steps below:
Step 1
Write the formula that can be use to solve the above.

Step 2
Determine;
→ →
a. b

Step 3
Determine;
→ →
|a| and | b|



Step 4
Substitute the values into the formula.

Step 5
Take the arc cos of both-side.


ANSWER
θ = 78. 1°