JEE Main 202226 JulyEvening Shift
- Exam
- JEE Main
- Year
- 2022
- Date
- 26 July
- Shift
- Evening Shift
- Subject
- Physics
- Chapter
- Mathematics in Physics
JEE Main 2022 · 26 July · Evening Shift · Physics · Mathematics in Physics
If → A = (2 ^ i + 3 ^ j - ^ k )m and → B = ( ^ i + 2 ^ j + 2 ^ k )m...
If \overset{\to}{A} = \left(2\overset{^}{i} + 3\overset{^}{j} - \overset{^}{k}\right)m and\overset{\to}{B} = \left(\overset{^}{i} + 2\overset{^}{j} + 2\overset{^}{k}\right)m\overset{\to}{A}\overset{\to}{B}will be _____m$.
Correct answer
0
Step-by-step solution
GIven vector are \left(2\overset{^}{i} + 3\overset{^}{j} - \overset{^}{k}\right)m\overset{\to}{B} = \left(\overset{^}{i} + 2\overset{^}{j} + 2\overset{^}{k}\right)m\overset{\to}{A}\overset{\to}{B} = \overset{\to}{A} \cdot \overset{^}{B}= \dfrac{\overset{\to}{A} \cdot \overset{\to}{B}}{\left|\overset{\to}{B}\right|} = \dfrac{2 + 6 - 2}{\sqrt{{1}^{2} + {2}^{2} + {2}^{2}}}$$= \dfrac{6}{3} = 2