Question

Add vectors A & D. Which of these is the correct result?

• A. $4\hat{i}$
• B. $0\hat{i}$
• C. $-1\hat{i}$
• D. None of these

Answer 1

The correct option is B

$0\hat{i}$

Vector A:- Magnitude 2

Direction +ve x-axis

So $2\hat{i}$

Vector D:- Magnitude 2

Direction -ve x-axis

So $-2\hat{i}$

$\hat{A}+\hat{D}=2\hat{i}+(-2\hat{i})$

=$(2-2)\hat{i}$

=$0\hat{i}$

Graphically

$\underset{\underset{\text{Vector D}}{\overset{}{}}}{\stackrel{\text{Vector A}}{\to }}$

So basically the head of vector D coincide with tail of vector A so 0 units is the measurement of the resultant vector.