Question

At what value of the parameter n the vectors $\overrightarrow{a}=\hat{i}+2\hat{j}+4\hat{k}$ and $\overrightarrow{a}=\hat{i}+2\hat{j}+2n\hat{k}$ are equal

• A. 2
• B. 1
• C. 3
• D. None of these

Answer 1

The correct option is A 2

$\overrightarrow{a}=\hat{i}+2\hat{j}+4\hat{k}\overrightarrow{b}=\hat{i}+2\hat{j}+2n\hat{k}$

$\overrightarrow{a}=\overrightarrow{b}$ if all the coffecients of $\hat{i},\hat{j},\hat{k}$ are equal

Thus, $2n=4$

$n=2$