Question

The vector is a bisector of the angle between the vectors $\overline { \mathrm { i } } + \overline { \mathrm { j } }$and if

• A. a = b
• B. a = c
• C. a +b = c
• D. a = b = c

Answer 1

Answer: (B)

a = c

Answer 2

Equation of the bisector of the angle between $\overline { \mathrm { i } } + \overline { \mathrm { j } }$ and $\overline { \mathrm { j } } + \overline { \mathrm { k } }$is

$\left( \frac { \overline { \mathrm { i } } + \overline { \mathrm { j } } } { \sqrt { 2 } } + \frac { \overline { \mathrm { j } } + \overline { \mathrm { k } } } { \sqrt { 2 } } \right)$ = ; by hypothesis

$\therefore$ $\frac { t } { \sqrt { 2 } } = a$ $\sqrt { 2 } t = b$, $\frac { t } { \sqrt { 2 } } = c$

Ž a = c