Question

The vector that is NOT perpendicular to the vectors $(\hat{i}+\hat{j}+\hat{k}$) and $(\hat{i}+2\hat{j}+3\hat{k}$)_______

• A. $(\hat{i}-2\hat{j}+\hat{k}$)
• B. $(\widehat{-i}+2\hat{j}-\hat{k}$)
• C. $(0\hat{i}+0\hat{j}+0\hat{k}$)
• D. $(4\hat{i}+3\hat{j}+5\hat{k}$)

Answer 1

The correct option is D $(4\hat{i}+3\hat{j}+5\hat{k}$)

On verification, option (d) is not perpendicular to both the given vectors.(Dot product $\ne 0$)