Let a^and b^be two unit vectors. If the vectors c=a^+2b^andd=5a^−4b^are perpendicular to each other, then the angle between a^and b^is

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Let {{a}}and {{b}}be two unit vectors. If the vectors {{c}}={{

Question

Let $\overset{a}{^}$ and $\hat{b}$ be two unit vectors. If the vectors $c = \overset{a}{^} + 2 \hat{b} a n d d = 5 \overset{a}{^} - 4 \hat{b}$ are perpendicular to each other, then the angle between $\overset{a}{^}$ and $\hat{b}$ is

\frac{π}{6}

\frac{π}{2}

\frac{π}{3}

\frac{π}{4}

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Lucas Discussed

Let

\overset{a}{^}

and

\hat{b}

be two unit vectors. If the vectors

c = \overset{a}{^} + 2 \hat{b} a n d d = 5 \overset{a}{^} - 4 \hat{b}

are perpendicular to each other, then the angle between

\overset{a}{^}

and

\hat{b}

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Question Text	Let $\overset{a}{^}$ and $\hat{b}$ be two unit vectors. If the vectors $c = \overset{a}{^} + 2 \hat{b} a n d d = 5 \overset{a}{^} - 4 \hat{b}$ are perpendicular to each other, then the angle between $\overset{a}{^}$ and $\hat{b}$ is
Answer Type	Video solution: 1
Upvotes	151