If →a,→b,→c are three non coplanar vectors and →p=→b×→c[→a →b →c],→q=→c×→a[→a →b →c],→r=→a×→b[→a →b →c], then (2→a+3→b+4→c)⋅→p+(2→b+3→c+4→a)⋅→q+(2→c+3→a+4→b)⋅→r=

If →a,→b,→c are three non coplanar vectors and →p=→b×→c[�

1.	If →a,→b,→c are three non coplanar vectors and →p=→b×→c[→a →b →c],→q=→c×→a[→a →b →c],→r=→a×→b[→a →b →c], then (2→a+3→b+4→c)⋅→p+(2→b+3→c+4→a)⋅→q+(2→c+3→a+4→b)⋅→r=
Answer» If $\to a, \to b, \to c$ are three non coplanar vectors and $\to p = \frac{\to b \times \to c}{[\to a \to b \to c]}, \to q = \frac{\to c \times \to a}{[\to a \to b \to c]}, \to r = \frac{\to a \times \to b}{[\to a \to b \to c]},$ then $(2 \to a + 3 \to b + 4 \to c) \cdot \to p + (2 \to b + 3 \to c + 4 \to a) \cdot \to q + (2 \to c + 3 \to a + 4 \to b) \cdot \to r =$