Question

Convert the vector rvector is equal to 3 ICAP + 2 J cap into the unit vector

Answer 1

Magnitude of unit vector equals to unity.
I mean, if A is the unit vector then, |A| = 1
we can wire unit vector of any vector . If r is vector then,
Unit vector = r/|r|

here, r = 3i + 2j
So, unit vector = (3i + 2j)/|3i + 2j|
= (3i + 2j)/√(3² + 2²)
= (3i + 2j)/√13
= (3/√13)I + (2/√13)j

Hence, unit vector = (3/√13)i + (2/√13)j

hope it helps