Statement I : Angle between $\hat{i} + \hat{j} and \hat{i} is 45^{0}$
Statement II : $\hat{i} + \hat{j} is equally inclined to both \hat{i} and \hat{j} and the angle between \hat{i} and \hat{j} is 90^{0}$

Moderate

A

If both statement I and statement II are true and statement II is the correct explanation of statement I.
B

If both statement I and statement II are true but statement II is not the correct explanation of statement I.
C

If statement I is true but statement II is false.
D

If both statement I and statement II are false.

Solution

$\cos θ = \frac{(\hat{i} + \hat{j}) . (\hat{i})}{| \hat{i} + \hat{j} | | i |} = \frac{1}{\sqrt{2}} . Hence θ = 45^{0}$

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