if `|vecC|^2=60` and `vecCx(hati+2hatj+5hatk)=0` then a value of `vecC.(-7hati+2hatj3+hatk)` is

Let veca=hati-hatj+hatk, vecb=2hati+hatj+hatk and vecc=hati+hatj-2hatk , then the value of [(veca, vecb, vecc)] is equal to

Let veca=hati-hatj+hatk, vecb=2hati+hatj+hatk and vecc=hati+hatj-2hatk , then the value of [(veca, vecb, vecc)] is equal to

If veca = hati+2hatj+hatk , vecb = 2hati- 2hatj + 2hatk and vecc = hati + 2hatj + hatk then

If vectors veca =hati +2hatj -hatk, vecb = 2hati -hatj +hatk and vecc = lamdahati +hatj +2hatk are coplanar, then find the value of lamda .

Find veca. (vecb xx vecc) if veca=2hati + hatj + 3hatk , vecb= -hati + 2hatj + hatk and vecc = 3hati + hatj + 2hatk .

Let vecr be a vector perpendicular to the vertors veca=hati+hatj-hatk and vecb=hati+2hatj+hatk . If vecc.(hati+hatj+3hatk)=8 then the value of vecc.(vecaxx vecb) is equal to...

Given veca=1/7 (2hati+3hatj+6hatk), vec= 1/7 (3hati-6hatj+2hatk) and vecc1/7(6hati+2hatj-3hatk) . Show that veca,vecb,vecc are of unit length mutually perpendicular and that vecaxxvecb=vecc .