Question

If the

angle between the unit vectors P and Q is 60 degree then the value of |P+Q|is​

Answer 1

Answer:

√2

Explanation:

The magnitude of addition of two vectors P & Q separated by angle ∅ is given as

• |P + Q| = √(|P|² + |Q|² + 2|P||Q|Cos∅)

It's given that P and Q are unit vectors and are the angle between them is 60°.

So,

• |P| = 1 unit
• |Q| = 1 unit
• ∅ = 60°

|P + Q| = √[1² + 1² + (2 × 1 × 1 × Cos60)]

|P + Q| = √[2 + (2 × ½)]

|P + Q| = √2