Vector triple product
Three-dimensional geometry and vector algebra · Mathematics
Study notes
Q: Verify a×(b×c) = (a·c)b − (a·b)c for a = i, b = i, c = j. LHS: i×(i×j) = i×k = −j. RHS: (i·j)i − (i·i)j = 0·i − 1·j = −j. ✓
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Three-dimensional geometry and vector algebra · Mathematics
Q: Verify a×(b×c) = (a·c)b − (a·b)c for a = i, b = i, c = j. LHS: i×(i×j) = i×k = −j. RHS: (i·j)i − (i·i)j = 0·i − 1·j = −j. ✓