If the vectors `(x^(2)-7)hat i+(x-2y+1)hat j+(y^(2)-3)hat k` .and `2hat i+hat k` are parallel, then the ordered pair `(x,y)` can be

If the vectors (x^(2)-7)hat i+(x-2y+1)hat j+(y^(2)-3)hat k a , 2hat i+hat k are parallel, then the ordered pair (x, y) can be

If the vectors hat i-2x hat j+3y hat k a n d hat i+2x hat j-3y hat k are perpendicular then the locus of (x , y) is a. a circle b. an ellipse c. a hyperbola d. none of these

Two vectors P=2hat I +bhat j +2hat k and Q=hat i+hat j+hat k will be parallel if :

Find the angle between the vectors hat i-2hat j+3hat k and 3hat i-2hat j+hat k

What are the values of x for which the two vectors (x^(2)-1)hat(i)+(x+2)hat(j)+x^(2)hat(k) and 2 hat (i) - x hat (j) + 3 hat(k) are orthogonal ?

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)-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) ?

Let ABCD be the parallelogram whose sides AB and AD are represented by the vectors 2 hat i +4 hat j-5 hat k and hat i+2 hat j+3 hat k.Then if vec a is a unit vector parallel to AC then = (a) 1/3(3 hat i-6 hat j-2 hat k) (b) 1/3(3 hat i +6 hat j+2 hat k) (c) 1/7(3 hat i +6 hat j+2 hat k) (d) 1/7(3 hat i +6 hat j-2 hat k)

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) ?