My first vector problem
Geometry
Level
5
If \([b\quad c\quad d]=48\) and \((a\times b)\times (c\times d)+(a\times c)\times (d\times b)+(a\times d)\times (b\times c)+ka=0\) then find value of \(k\)
Details and Assumptions
\(a.b.c.d\) are vectors.
\([a\quad b\quad c]\) is scalar triple product.
\(x\times y\) is cross product of \(x\) and \(y\).
by
Tanishq Varshney