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Question

Mathematics Question on Vector Algebra

Let a\overrightarrow a and b\overrightarrow b be two unit vectors. If the vectors c=5a4b\overrightarrow c=5\overrightarrow a-4\overrightarrow b and d=a+2b\overrightarrow d = \overrightarrow a+2\overrightarrow b perpendicular to each other, then the angle between a\overrightarrow a and b\overrightarrow b is:

A

0

B

π3\frac{π}{3}

C

π4\frac{π}{4}

D

π6\frac{π}{6}

Answer

π3\frac{π}{3}

Explanation

Solution

The correct option is (B):

π3\frac{π}{3}