## A programmed vector algebra |

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Abelian group ai+bj+ck angle answer associative law base vectors beginning point calculate Cartesian equation Cartesian form Check your results commutative law coordinates cos2 definition dependent diagonals direction cosines displacement vectors distributive law dot product draw a diagram Examples expression Flow Diagram 13b Flow Diagram 6a given i+j+k Idraw is/is linear linearly independent mid point move multiply negative normal nose-to-tail notation numerical value onnaque orientation origin pairs of vectors parallel parallelepiped parallelogram plane/line position vector Pretest Programme 17 prove prpouct radius Reorganize Replace represents the translation results Flow Diagram scalar product scalar triple product scalar variable Similarly Simplify small letters sphere of centre straight line Strategy subtract successive translations Summary tangent plane three dimensions three vectors triangle variable scalar vector algebra vector equation vector product vector representing vectors are equal volume Write written xi+yj xi+yj+zk zero