if `veca=i+j+k,vecb=i-j+k,vecc=2i+3j-k` then `(vecaXvecb)Xvecc=`

Consider veca=i+2j-3k,vecb=3i-j+2k,vecc=11i+2j . Find veca+vecb and veca*vecb .

Consider veca=i+2j-3k,vecb=3i-j+2k,vecc=11i+2j . Show that veca+vecb and veca-vecb are orthogonal.

Let veca = 2i + j -2k, and b = i+ j if c is a vector such that veca .vecc = |vecc|, |vecc -veca| = 2sqrt2 and the angle between veca xx vecb and vecc is 30^(@) , then |(veca xx vecb)xx vecc| is equal to

If veca=i-2j+3k , vecb=2i+3j-4k and vecc=i-3j+5k ,then check whether veca , vecb , vecc are coplanar.

Let veca = 2i + j + k, and b = i+ j if c is a vector such that veca .vecc = |vecc|, |vecc -veca| = 2sqrt2 and the angle between veca xx vecb and vec is 30^(@) , then |(veca xx vecb)|xx vecc| is equal to

If veca = 2i+j-k, vecb =-i+2j-4k and vecc=i+j+k , then find (vecaxxvecb).(vecbxxvecc)

If veca=i+j+k,veca.vecb=1 and vecaxxvecb=j-k , then : vecb =

If veca=i-2j+3k, vecb=2i+3j-5k , prove that vecaandvecaxxvecb are perpendicular.

If veca=3i-j-5k and vecb=i-5j+3k Show that veca+vecb and veca-vecb are perpendicular.

Show that the points A, B and C with position vectors veca=3i-4j-4k,vecb=2i-j+k and vecc=i-3j-5k respectively form the vertices of a right angled triangle.