Question

Find the unit vector

Answer 1

Explanation:

Vector:

AB = { 2 - 5; 7 - 3; -1 - (-1) } = { -3; 4; 0 }

Vector modulus:

| AB | = √ ( (-3)² + 4² + 0² ) = √ (9 + 16 + 0 ) = √ 25 = 5

Unit vector:

U = -(3/5)·i + (4/5)·j + 0/5·k

U = -(3/5)·i + (4/5)·j