For vector `vec(a)=3hat(i)+3hat(j)-2hat(k)` , what are its component along X-axis, Y-axis & Z-axis.

For the given vector vec(A)=3hat(i)-4hat(j)+10hat(k) , the ratio of magnitude of its component on the x-y plane and the component on z- axis is

For the given vector vec(A)=3hat(i)-4hat(j)+10hat(k) , the ratio of magnitude of its component on the x-y plane and the component on z- axis is

For the given vector vec(A)=3hat(i)+4hat(j)+10hat(k) , the ratio of magnitude of its component on the x-y plane and the component on z- axis is

For the given vector vec(A)=3hat(i)-4hat(j)+10hat(k) , the ratio of magnitude of its component on the x-y plane and the component on z- axis is

For the given vector vec(A)=3hat(i)-4hat(j)+10hat(k) , the ratio of magnitude of its component on the x-y plane and the component on z- axis is

The angle theta between the vector vec(p)=hat(i)+hat(j)+hat(k) and unit vector along X-axis is

A vector vec A is exparessed as vec A = A_(x) hat I + A_(y) hat j where vec A and vec B are its components along x-axis and y-axis respectively. If vector vec A makes an angle theat with x-axis, then theta is given by which expressinon ?

With respect to a rectangular Cartesian coordinate system, three vectors are expressed as vec(a)= 4hat(i)-hat(j), vec(b)= -3hat(i)+2hat(j) and vec(c )= -hat(k) Where, hat(i), hat(j), hat(k) are unit Vector, along the X, Y and Z-axis respectively. The unit vectors hat(r ) along the direction of sum of these vector is