Find the vector magnitude `sqrt(2)` which lies in zx-plane and is at righat angles to the vector `2hati+hatj+2hatk`

Calculate the components of a vector of magnitude unity which is at right angles to the vectors 2hati+hatj-4hatk and 3hati+hatj-hatk .

Calculate the components of a vector of magnitude unity which is at right angles to the vectors 2hati+hatj-4hatk and 3hati+hatj-hatk .

Find a vector of magnitude sqrt(171) , which is perpendicular to both of the vectors veca=hati+2hatj-3hatk and vecb=3hati-hatj+2hatk

Find a vector of magnitude 6 which is perpendicular to both the vectors 2 hati - hatj + 2hatk and 4 hati - hatj + 3hatk.

Find a vector of magnitude 8, which is perpendicular to both the vectors 2hati-hatj+3hatk and -hati+2hatj-hatk .

Find a vector of magnitude sqrt(51) and makes equal angle with the vectors vec(a)=(1)/(3)(hati-2hatj+2hatk),vec(b)=(1)/(5)(-4hati-3hatk) and vec( c )=hatj .

Find the magnitude of vector vecA=2hati-3hatj+4hatk