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For vectors vec(a),vec(b) and vec( c ),v...

For vectors `vec(a),vec(b)` and `vec( c ),vec(a).vec(b)=vec(a).vec( c )` and `vec(a)xx vec(b)=vec(a)xx vec( c ),vec(a) ne vec(0)` then show that `vec(b)=vec( c )`.

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