Question

Set the following vectors in the increasing order of their magnitudes.
a) $3\hat{i}+4\hat{j}$
b) $2\hat{i}+4\hat{j}+6\hat{k}$
c) $2\hat{i}+2\hat{j}+2\hat{k}$

• A. b, a, c
• B. c, a, b
• C. a, c, b
• D. a, b, c

Answer 1

Answer: (B)

c, a, b

The magnitude is given by $\overrightarrow{P}=\sqrt{{P^2}_x+{P^2}_y+{P^2}_z}$.
Magnitude of the vectors given in the option are:

(a) $\sqrt{25}$
(b) $\sqrt{56}$
(c) $\sqrt{12}$