Let `eveca=hati+hatj-hatk, vecb=hati-hatj+hatk and vecc ` be as unit vector perpendicular to veca and vecb` the `vecc=` (A) `1/sqrt(j+k)` (B) `1/sqrt(2)(j-k)` (C) `1/sqrt(6) (i-2jk)` (D) `1/sqrt(6) (2i-j+k)`

Let veca=hati+hatj-hatk, vecb=hati-hatj+hatk and vecc be a unit vector perpendicular to veca and coplanar with veca and vecb , then it is given by

If veca=hati+hatj, vecb=hatj+hatk, vec c hatk+hati , a unit vector parallel to veca+vecb+vecc .

Let veca=hati-hatj,vecb=hati+hatj+hatk and vecc be a vector such that vecaxxvecc+vecb=vec0 and veca.vecc=4 , then |vecc|^(2) is equal to:

If veca=hati+hatj+hatk, vecb=2hati-hatj+3hatk and vecc=hati-2hatj+hatk find a unit vector parallel to ther vector 2veca-vecb+3c .

Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-2hatj+4hatk . Find a vector vecd which perpendicular to both veca and vecb and vecc.vecd=15 .

If veca = 2hati -3hatj-1hatk and vecb =hati + 4hatj -2hatk " then " veca xx vecb is

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

Let vec a=2 hati+hat j+ hat k , vec b=hat i+2hat j- hatk and a unit vector vec c be coplanar. If vec c is perpendicular to vec a , then vec c is a. 1/(sqrt(2))(-hat j+hat k) b. 1/(sqrt(3))(-hat i-hat j-hat k)"" c. 1/(sqrt(5))(-hat k-2 hat j) d. 1/(sqrt(3))(hat i-hat j- hat k)

Let veca=hati+hatj+hatk, vecb=hati-hatj+hat2k and vecc=xhati+(x-2)hatj-hatk . If the vector vecc lies in the plane of veca and vecb then x equals