The values of `lambda` such that (x, y, z) `ne` (0, 0, 0) and (i + j + 3k) x + (3i - 3j + k) y + (-4i + 5j) `z = lambda` (xi + yj + zk) are

Find all lambda in R such that (x,y,z)!=(0,0,0) and (vec i + vec j + 3 vec k) x + (3 vec i - 3 vec j + vec k) y + (-4 vec i + 5 vec j) z = lambda(x vec i + y vec j +z vec k) .

Find the values of lambda such that x ,y ,z!=(0,0,0) and ( hat i+ hat j+3 hat k)x+(3 hat i-3 hat j+ hat k)y+(-4 hat i+5 hat j)z=lambda(x hat i+y hat j+z hat k) , where hat i , hat j , hat k are unit vector along coordinate axes.

Find the values of lambda such that x ,y ,z!=(0,0,0) and ( hat i+ hat j+3 hat k)x+(3 hat i-3 hat j+ hat k)y+(-4 hat i+5 hat j)z=lambda(x hat i+y hat j+z hat k) , where hat i , hat j , hat k are unit vector along coordinate axes.

Find the values of lambda such that x ,y ,z!=(0,0,0)a n d( hat i+ hat j+3 hat k)x+(3 hat i-3 hat j+ hat k)y+(-4 hat i+5 hat j)z=lambda(x hat i+y hat j+z hat k) , where hat i , hat j , hat k are unit vector along coordinate axes.

Find the values of lambda such that x,y,z!=(0,0,0)and(hat i+hat j+3hat k)x+(3hat i-3hat j+hat k)y+(-4hat i+5hat j)z=lambda(xhat i+yhat j+zhat k) where hat i,hat j,hat k are unit vector along coordinate axes.

(i+j+3k)x+(3i-3j+k)y+(-4i+5j)z=lambda(xi+yj+zk) then lambda equal to

Find the value of lambda such that the vectors vec a = 2i + lambda j+ k, vec b = i + 2j +3k are orthogonal

The value of lambda for which the vectors 3i-6j+k and 2i-4j+lambda k are parallel is

The volume of the tetrahedron formed by 4i + 5j + k, - j + k, 3i + 9j + 4k, 4 (-I + j + k) is