Q. 2 B4.7( 3 Votes )

# If <span lang="EN

Answer :

We need to find the unit vector in the direction of .

First, let us calculate .

As we have, …(a) …(b)

Then multiply equation (a) by 2 on both sides, We can easily multiply vector by a scalar by multiplying similar components, that is, vector’s magnitude by the scalar’s magnitude. …(c)

Subtract (b) from (c). We get,   We know that, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.

To find a unit vector with the same direction as a given vector, we divide by the magnitude of the vector.

For finding unit vector, we have the formula: Now we know the value of , so we just need to substitute in the above equation. Here, .   Thus, unit vector in the direction of is .

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