$\vec{a}$ and $\vec{b}$ are two unit vectors such that $|2\vec{a} + 3\vec{b}| = |3\vec{a} - 2\vec{b}|$. Find the angle between $\vec{a}$ and $\vec{b}$.

Year	Paper Code	Set	Position
CBSE 2022	Series 65-2	Set 1	Question 3
CBSE 2022	Series 65-2	Set 2	Question 2
CBSE 2022	Series 65-2	Set 3	Question 4

• Step 1: Stating the fundamental formula / law statement (+1 Mark)
• Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
• Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)