Q. 13.5( 2 Votes )

# The vector in the direction of the vector that has magnitude 9 is

A.

B.

C.

D.

Answer :

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 .

Then,

[∵ if

]

Therefore,

[∵ 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.

So,

⇒Vector in the direction ofwith a magnitude of 9=

Thus, vector in the direction of vector and has magnitude 9 is .

Rate this question :

The position vector of the point which divides the join of points and in the ratio 3 : 1 is

Mathematics - ExemplarThe vector having initial and terminal points as (2, 5, 0) and (–3, 7, 4), respectively is

Mathematics - ExemplarTrue and False

If , then necessarily at implies .

Mathematics - ExemplarIf and are perpendicular vectors, and find the value of

Mathematics - Board PapersTrue and False

Position vector of a point P is a vector whose initial point is origin.

Mathematics - ExemplarIf are three vectors such that and and find the value of

Mathematics - Board Papers