[" Let "a=3hat i+2hat j+xhat k" and "b=hat i-hat j+hat k," for some real "x],[" Then "|a times b|=r" is possible if "],[[" (a) "0

Let a=3hat(i) +2hat(j)+xhat(k) " and " b=hat(i)-hat(j) +hat(k) for some real x Then |axx b| =r is possible if

Let a=3hat(i) +2hat(j)+xhat(k) " and " b=hat(i)-hat(j) +hat(k) for some real x Then |axx b| =r is possible if

Let vec a=3hat i+2hat j+xhat k and vec b=hat i-hat j+widehat K Some real x. Then |vec a xxvec b|=r is possible if:

If the vectors vec A=hat i+hat j+3hat k and vec B=xhat i-2hat j-hat k are perpendicular to each other then the positive value of x is

If 3hat(i)-2hat(j)+8hat(k) and 2hat(i)+xhat(j)+hat(k) are at right angles then x=

If vec P=hat i+hat j+2hat k and vec Q=3hat i-2hat j+hat k ,the unit vector perpendicular to both bar(P) and bar(Q) is (A) (hat i+hat j-hat k)/(sqrt(3)) (B) 5(hat i+hat j-hat k) (C) (1)/(sqrt(3))(hat i-hat j+hat k) (D) (1)/(25)(hat i+hat j-hat k)

If vec a=xhat i+yhat j+zhat k,vec b=yhat i+zhat j+xhat kandvec c=zhat i+xhat j+yhat k, then vec a xx(vec b xxvec c) is (a)parallel to (y-z)hat i+(z-x)hat j+(x-y)hat k (b)orthogonal to hat i+hat j+hat k (c)orthogonal to (y+z)hat i+(z+x)hat j+(x+y)hat k (d)orthogonal to xhat i+yhat j+zhat k

If vec a=hat i+2hat j-2hat k,vec b=2hat i-hat j+hat k and vec c=hat i+3hat j-hat k then find vec a xx(vec b xxvec c)

If vec(a) = xhat(i) + 2hat(j) - z hat(k) and vec(b) = 3hat(i) - y hat(j) + hat(k) are two equal vectors, then find the value of x + y +z.

Find the volume of the parallelepiped whose coterminous edges are represented by the vectors: vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j+2 hat k vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j-2 hat k vec a=11 hat i , vec b=2 hat j- hat k , vec c=13 hat k vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat k , vec c= hat i+2 hat j- hat k