`a=2i+j+4k, b=3j-j+2k and c=3i+j+4k` find `axx(bxxc)`​

If a=3i+2j+k, b=5i-j+2k" and "c=i+j+k , find [a b c]

If bara = 2i + 3j - k , barb = - i + 2 j - 4k and barc = i + j + k . then (a xx b) · ( a xx c)

If bara=2i+3j-k,barb=-i+2j-4k and barc=i+j+k , then (baraxxbarb).(baraxxbarc)=

Let a=2i-3j+4k, b=i+2j-2k " and "c=3i-j+k . Let V be, the volume (in cubic unit) of the parallelopiped having a+b+c, a-b+c" and "a+b-c as coterminus edges, then V = ________

Let vec a = 2i + j + k, vec b = i + 2j + k and vec c = 2i-3j + 4k, A vector vec r satisfying vec r xxvec b = vec c xxvec b and vec r * vec a = 0 , is

2i · (j xx k) - 3j · (i xx k) - 4k · (i xx j) =

If =2i+5j-7k,b=-3i+4j+k and c=i-2j-3ka=2i+5j-7k,b=-3i+4j+k and c=i-2j-3k compute (vec a xxvec b)xxvec c and a xx(b xx c) and verify that these are not equal.

if vec a=2i+j+3k and vec b=3i+5j-2k then |a xx b|

if vec a=2i+2j+3k,vec b=-i+2j+k and vcec=3i+j are such that vec a+lambdavec b is perpendicular vec c then find the value of lambda