Assertion: If `hat(i)` and `hat(j)` are unit Vectors along x-axis and y-axis respectively, the magnitude of Vector `hat(i)+hat(j)` will be `sqrt(2)`
Reason: Unit vectors are used to indicate a direction only.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion
C. If assertion is true but reason is false.
D. If both aseertion and reason are false.

Answer

B

Explanation

Since `hat(i)` and `hat(j)` are unit Vectors, their magnitudes are
`|vec(i)|=1 and |hat(i)|=1`. Magnitude of resulant vector is equal to `sqrt(|hat(i)|^(2)+|hat(j)|^(2))=sqrt((1)^(2)+(1)^(2))=sqrt(2)`