Question

The resultant of two vectors, 3 unit along east and 4 unit along north is

• A. 2 unit
• B. 3 unit
• C. 5 unit
• D. 1 unit

Answer 1

Answer: (C)

5 unit

Answer 2

$\overrightarrow{AB}$ = 3 unit along east $\overrightarrow{BC}$ = 4 unit along north Resultant of two vectors is $\overrightarrow{AC} = \overrightarrow{AB} + \overrightarrow{BC}$ (By triangle law) The magnitude of $\overrightarrow{AC}$ is $AC = \sqrt{AB^2 + BC^2} = \sqrt{(3)^2 + (4)^2} = \sqrt{25}$ = 5 unit