Question

Arrange the vector addition so that their magnitude in increasing order are
(a) Two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ are parallel
(b) Two vectors$\overrightarrow{A}$ and $\overrightarrow{B}$ making an angle ${60}^{\circ }$

(c) Two vectors$\overrightarrow{A}$ and $\overrightarrow{B}$ making an angle${120}^{\circ }$

(d) Two vectors$\overrightarrow{A}$ and $\overrightarrow{B}$ are antiparallel

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

Answer 1

The correct option is A d,c,b,a

We know,

$(A+B{)}^2=|A{|}^2+|B{|}^2+2|A||B|\cos \theta$

More the angle between, two vectors. Less is the summation vector,.

Hence

${180}^0>{120}^0>{160}^0>0^0$

Option $\text{A}$ is the correct answer