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Let the vectors bar(a),bar(b),bar(c) be ...

Let the vectors `bar(a),bar(b),bar(c)` be such that `|bar(a)|=2,|bar(b)|=4` and `|bar(c)|=4`. If the projection of `bar(b)` on `bar(a)` on is equal to the projection of `bar(c)` on `bar(a)` and `bar(b)` is perpendicular to `bar(c)` then the value of `|bar(a)+bar(b)-bar(c)|` is

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