Question

Define: i) Resultant vector
ii) Position vector​

Answer 1

Explanation:

Resultant vector:-

The quantities that have both magnitude and direction are called vectors. If they are in the opposite direction or same direction, then we can add and subtract directly. But they are in the same direction, then we cannot add directly. For a case like this, we use the formula that will square root of the sum of squares of each vector.

The resultant vector formula is

R=√(x^2+y^2)

Position Vector:-

The position vector is used to specify the position of a certain body. Knowing the position of a body is vital when it comes to describing the motion of that body. The position vector of an object is measured from the origin, in general. Suppose an object is placed in the space as shown:

Position Vector

Position vector (r⃗ )=xi^+yj^+zk^

Where,

i^= unit vector along x-direction

j^= unit vector along y-direction

k^= unit vector along z-direction