Q. 13.5( 2 Votes )
The vector in the direction of the vector that has magnitude 9 is
Given is the vector .
Let this vector be , such that
Let us first find the unit vector in the direction of this vector .
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.
Unit vector in the direction of the vector is given as,
As, we have .
[∵ and ]
We have found unit vector in the direction of the vector , but we need to find the unit vector in the direction of but also with the magnitude 9.
We have the formula:
Vector in the direction ofwith a magnitude of 9
And as just found.
⇒Vector in the direction ofwith a magnitude of 9=
Thus, vector in the direction of vector and has magnitude 9 is .
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