If `bara=x hati-2 bar j + 5 hat k and bar b=hat i+y hat j-z hatk` are linearly dependent, then the value of `(xy^2)/z` equals

If bar(a)=xhat i-2bar(j)+5hat k and bar(b)=hat i+yhat j-zhat k are linearly dependent,then the value of (xy^(2))/(z) equals

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

If vec a=x hat i+2 hat j-\ z hat k and vec b=3 hat i-\ y hat j+ hat k are two equal vectors, then write the value of x+y+zdot

If vec a=x hat i+2 hat j-z hat k\ and vec b=3 hat i-y hat j+ hat k are two equal vectors, then write the value of x+y+zdot

bar A = 2 hat i + 3 hat j and bar b = 3 hat i + 5 hat j Then bar a xx bar b is

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.

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

If bar a=hat i +hat j+ hat k, bar b=hat i-hat j +hat k, bar c=hat i +2hat j-hat k then the value of |[bar a.bar a, bar a.bar b, bar a.bar c],[bar b.bar a,bar b.bar b, bar b.bar c],[bar c.bar a,bar c.bar b,bar c.barc]|

Let bar a= hat i+ hat j+ hat k ,""b= hat i- hat j+2 hat k and bar c=x hat i+(x-2) hat j- hat k . If the vector c lies in the plane of a and b , then x equals