Question

Find the values of $x$ ,$y$ and $z$ so that the vectors $\overrightarrow{a}=x\hat{i}+2\hat{j}+z\hat{k}$ and $\overrightarrow{b}=2\hat{i}+y\hat{j}+\hat{k}$ are equal

• A. $x=2$ ,$y=2$ ,$z=1$
• B. $x=1$ ,$y=2$ ,$z=1$
• C. $x=-2$ ,$y=2$ ,$z=1$
• D. None of these

Answer 1

The correct option is A $x=2$ ,$y=2$ ,$z=1$

$\because \overrightarrow{a}=\overrightarrow{b}$ so their components will also be equal.

$\therefore x=2,2=y,z=1$