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

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.

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

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

Let a = 2hat(i) - 3hat(j) + 4hat(k), b = hat(i) + 2hat(j) - 2hat(k) and c = 3hat(i) - hat(j) + hat(k) . The valume (in cubic units of the parallelopiped having a + b + c, a - b + c and a + b -c as coterminus edges is

Let alpha in R and the three vectors a=alpha hat(i) + hat(j) +3hat(k) , b=2hat(i) +hat(j) -alpha hat(k) " and " c= alpha hat(i) -2hat(j) +3hat(k) . Then the set S={alpha: a,b " and c are coplanar"}

Let alpha in R and the three vectors a=alpha hat(i) + hat(j) +3hat(k) , b=2hat(i) +hat(j) -alpha hat(k) " and " c= alpha hat(i) -2hat(j) +3hat(k) . Then the set S={alpha: a,b " and c are coplanar"}