- #1
abrowaqas
- 114
- 0
Let A ,B and C represent vectors.
we have
1) d/dt (A . B) = A. dB/dt + dA/dt .B
2) d/dt [ A . (BxC) ] = A . (Bx dC/dt) + A . ( dB/dt x C) + dA/dt . (B xC)
now the problem in these formulas is that
we know that Dot product between two vectors and Scalar triple product of vectors is always a scalar. now if we find their derivative it results always Zero.
then how these formulas has been defined since the derivative remains zero always for constant hence it always yield zero result.
please explain
we have
1) d/dt (A . B) = A. dB/dt + dA/dt .B
2) d/dt [ A . (BxC) ] = A . (Bx dC/dt) + A . ( dB/dt x C) + dA/dt . (B xC)
now the problem in these formulas is that
we know that Dot product between two vectors and Scalar triple product of vectors is always a scalar. now if we find their derivative it results always Zero.
then how these formulas has been defined since the derivative remains zero always for constant hence it always yield zero result.
please explain