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

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) ?

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

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)?

The vectors hat(i)- 2x hat(j) - 3y hat(k) and hat(i) + 3x hat(j) + 2y hat(k) are orthogonal to each other. Then, the locus of the point (x, y) is:

If the vectors hat(i) - 2x hat(j) + 3 y hat(k) and hat(i) +2x hat(j) - y hat(k) are perpendicular, then the locus of (x,y) is

If the vectors hat i+3hat j+4hat k,lambdahat i-4hat j+hat k ,are orthogonal to each other,then lambda=

The two variable vectors 3x hat i + y hat j - 3 hat k and x hat i - 4 y hat j + 4 hat k are orthogonal to each other.Then the locus of (x, y) is

The two variable vectors 3x hat i+y hat j-3 hat k and x hat i-4 y hat j+4 hat k are orthogonal to each other, then the locus of (x,y) is a)hyperbola b)circle c)straight line d)ellipse

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.