Q. 2 A4.5( 4 Votes )

# If <a name="MTBla

Answer :

We have,  (i). We need to find the unit vector in the direction of .

First, let us calculate .

As we have, Multiply it by 6 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. 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 just substitute the value in the above equation. Here, .   Let us simplify.  Thus, unit vector in the direction of is .

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