Question

Match the following vectors with their correct Notation

$\begin{array}{cc}\begin{array}{cc}\left(i\right)& \text{Vector A}\\ \left(ii\right)& \text{Vector F}\\ \left(iii\right)& \text{Vector D}\\ \left(iv\right)& \text{Vector B}\\ \left(v\right)& \text{Vector E}\end{array}& \begin{array}{cc}\left(A\right)& 3\hat{i}\\ \left(B\right)& -2\hat{j}\\ \left(C\right)& -2\hat{i}\\ \left(D\right)& 2\hat{i}\\ \left(E\right)& 2\hat{i}+2\hat{j}\end{array}\end{array}$

• A. (i) - A, (ii) - B, (iii) - C, (iv) - D, (v) - E
• B. (i) - D, (ii) - B, (iii) - C, (iv) - A, (v) - E
• C. (i) - D, (ii) - B, (iii) - C, (iv) - E, (v) - A
• D. (i) - E, (ii) - D, (iii) - C, (iv) - B, (v) - A

Answer 1

The correct option is C

(i) - D, (ii) - B, (iii) - C, (iv) - E, (v) - A

Vector A: Has a magnitude of 2 units and is in the positive x direction, so $2\hat{i}$ (i) - D

Vector F - magnitude is 2 units

Direction -ve y-axis

Vector D - magnitude is 2 units

Direction -ve x-axis

Vector B - To reach the head of B from its tail I have to walk 2 units on the +ve x-axis then 2 units on the +ve y-axis. So $2\hat{i}+2\hat{j}$

Vector E - magnitude 3 units

Direction +ve x-axis $3\hat{i}$