Question

Assertion :Vector $(\hat{i}+\hat{j}+\hat{k})$ is perpendicular to $(\hat{i}-2\hat{j}+\hat{k})$ Reason: Two non-zero vectors are perpendicular if their dot product is equal to zero.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

$(\hat{i}+\hat{j}+\hat{k}).(\hat{i}-2\hat{j}+\hat{k})=1-2+1=0$
As the dot product of two nonzero vectors is zero, the vectors are perpendicular to each other.
Therefore, Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.