Assertion: Angle between `hat(i)+hat(j)` and `hat(i)` is `45^(@)`.
Reason: `hat(i)+hat(j)` is equally inclined to both `hat(i)` and `hat(j)` and the angle between `hat(i)` and `hat(j)` is `90^(@)`.

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

A

Explanation

`cos theta=((hat(i).hat(j)).(hat(i)))/(|hat(i)+hat(j)||hat(i)|)=1/(sqrt(2)). Hence theta = 45^(@)`.