Question

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

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

Answer 1

The correct option is B c , a, b

a) $3\hat{i}+4\hat{j}$

$\left|\overline{a}\right|=\sqrt{9+16}=5$

b) $2\hat{i}+4\hat{j}+6\hat{k}$

$\left|\overline{b}\right|=\sqrt{4+16+36}=\sqrt{56}=7.3$

c) $2\hat{i}+2\hat{j}+2\hat{k}$

$\left|\overline{c}\right|=\sqrt{4+4+4}=\sqrt{12}=3.4$

so increasing order of their magnitude

$c>a>b$

so (a) option is correct answer.