If `x hat(i)+ y hat(j)+zhat(k)` is a unit vector and `x:y:z=sqrt(3):2:3`, then what is the value of z?

If x hat(i) + y hat(j) + z hat(k) is a unit vector and x:y:z= sqrt3:2:3 then what is the value of 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 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 hat(i), hat(j) and hat(k) are unit vectors along x,y and z-axis respectively, the angle theta between the vector hat(i) + hat(j) + hat(k)" ""and vector" hat(j) is given by

If hat(i), hat(j) and hat(k) are unit vectors along x,y and z-axis respectively, the angle theta between the vector hat(i) + hat(j) + hat(k)" ""and vector" hat(j) is given by

If hat(i) , hat(j) ,hat(k) are unit vectors alng the positive directin of x- y- are z-axis then a false statement in the following is :

The vectors hat(i)- x hat(j)- y k and hat(i) + x hat(j) + y hat(k) are orthogonal to reach other, then what is the locus of the point (x,y)?

If hat(i), hat(j) and hat(k) represent unit vectors along the x, y and z axes respectively, then the angle theta between the vectors (hat(i) + hat(j) + hat(k)) and (hat(i) + hat(j)) is equal to :

If hat(i), hat(j) and hat(k) represent unit vectors along the x, y and z axes respectively, then the angle theta between the vectors (hat(i) + hat(j) + hat(k)) and (hat(i) + hat(j)) is equal to :

If the vectors -hat(i)-2xhat(j)-3y hat(k) and hat(i)-3x hat(j)-2y hat(k) are orthogonal to each other, then what is the locus of the point (x, y) ?