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Bisector of Angle between Two Vectors

The vectors 3...

Question

{ The vectors }3\vec a-5\vec b and }2\vec a+\vec b are mutually }}{ perpendicular and the vectors }\vec a+4\vec b and }}{-\vec a+\vec b are also mutually perpendicular. Then the }}{ angle between the vectors }\vec a and }\vec b, is

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3 \to a - 5 \to b

2 \to a + \to b

are mutually perpendicular. If

\to a + 4 \to b

\to b - \to a

are also mutually perpendicular, then the cosine of the angle between

\to a

\to b

3 \to a - 5 \to b

2 \to a + \to b

are mutually perpendicular. If

\to a + 4 \to b

\to b - \to a

are also mutually perpendicular, then cosine of the angle between

\to a

\to b

\to a, \to b, \to c

are three mutually perpendicular vectors of equal magnitude, then the angle between the vectors

(\to a + \to b + \to c) a n d \to c =

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are mutually perpendicular vectors of equal magnitude then angle between

\to a + \to b + \to c

\to a

Q. If the vectors

\to a

\to b

are mutually perpendicular, then

\to a \times {\to a \times

\to a \times (\to a \times \to b)}} =

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Bisector of Angle between Two Vectors

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