Two vectors have planar components (2,2) and (1,√3). The angle between them is 5y degrees. Find y.
Physics · Mixed Chapter
JEE Main Practice

Question

Two vectors have planar components (2,2) and (1,√3). The angle between them is 5y degrees. Find y.

G1 Physics · Accepted Answer

Step 1: Direction of (2,2) has tanθ₁=2/2=1 ⇒θ₁=45°. Step 2: Direction of (1,√3) has tanθ₂=√3 ⇒θ₂=60°. Step 3: Angle between vectors is 60°−45°=15°. Step 4: 5y°=15° ⇒y=3.