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Let bar(a),bar(b) be two non zero vecto...

Let `bar(a),bar(b)` be two non zero vectors such that vectors `3bar(a)-5bar(b)` and `2bar(a)+bar(b)` are mutually perpendicular. If `bar(a)+4bar(b)` and `bar(b)-bar(a)` are also mutually perpendicular then the cosine angle between `bar(a)` and `bar(b)` is

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